Factorise 4x² + 2y² + x²y² + 8​

Answers

Answer 1

Answer:

[tex]4x² + 2y² + x²y² + 8 \\arranging \: them \\ 4 {x}^{2} + {x}^{2} {y}^{2} + 2 {y}^{2} + 8 \\ {x}^{2} (4 + {y}^{2} ) + 2(y^{2} + 4) \\ ({x}^{2} + 2)(y^{2} + 4)[/tex]

Answer 2

Answer:

(4 + y^2) ( x^2 + 2)

Step-by-step explanation:

irst rearrange the terms

4x^2 + x^2 y^2 + 2y^2 + 8

then factorise

x2 ( 4 + y^2) + 2 ( y^2 + 4)

group like terms together and insert the remaining terms into a bracket

(4 + y^2) ( x^2 + 2)


Related Questions

Cone - Opolis
Can someone help pls help with this, sorry for any trouble This is geometry volume btw

Answers

To find the area of ​​different geometric figures, different mathematical formulas must be used, such as: A = Π x r², A = b x h, A = b x h, among others.

How to calculate the area of ​​a circle?

To calculate the area of ​​a circle we must use the following mathematical formula:

A = π x r²

In this formula we have the value of π, which is equal to 3.14, and the value of , which is equal to the radius of the circle squared. For example:

A = 3.14 × 10²A = 3.14 x 100A = 314 cm²

How to calculate the area of ​​a rectangle?

To calculate the area of ​​a rectangle it is necessary to use the following mathematical formula:

A = b × h, in this formula b is equal to the length of the base and h to the length of the height of the rectangle. For example:

A = 3cm×7cmA = 21cm²

How to calculate the area of ​​a square?

To calculate the area of ​​a square it is necessary to use the following formula:

A = b × c

In this formula b represents the base of the base and c the length of the side of the square; we must take into account that the base and the side have the same length in a square. For example:

A = 5 × 5A = 25cm²

Learn more about geometric figures in: https://brainly.com/question/26170471

Flowers: $54 Sale: 15% off What is the new cost of the flowers?

Answers

Answer:$45.90

Step-by-step explanation:

Answer:

45.9

Step-by-step explanation:

15% of 54=

10%=5.4

5%=2.7

5.4+2.7=8.1

54-8.1=45.9

Does anyone know the answer?

Answers

Answer:

3) B    4) D

Step-by-step explanation:

3) Graph the equations and locate the intersection.

4) the best method to solve number 4 is the substitution method

6x+7y=20

y=2x

we second equation is basically telling us that y=2x so we just plug it into the first equation

6x+7(2x)=20

distribute

6x+14x=20

combine like terms

20x=20

divide each side by 20

x=1

now plug in our answer into one of the equations (does not matter which one)

y=2 times 1

y=2

meaning that our answer is (1,2), x=1  y=2

The debate team started the month with $85.42 in their account. They had to make 2 payments of $55.00 for an upcoming competition. If the 8 members split the debt evenly, what number would represent the debt of each member? (round your answer to the nearest hundredth)

Answers

Answer:

13 is the debt per 8 members

Find the area of the larger sector.
6 in
O 30°

Answers

Answer:=103.67in^2

Step-by-step explanation:
Sector area= r^2×a/2
. =36×0.5233 /2
Asector= 9.42in^2
Area of circle= πr^2
. =3.14×36
area of circle = 113.097in^2
Area of larger sector = area of circle- area of Sector
Area of larger sector
=113.097in^2 - 9.42in^2
=103.67in^2

I need the answer to this systems word problem. Step by step explanation please

Answers

Answer:

25 miles, and the cost will be $37.50.

Step-by-step explanation:

Mose's charge can be represented by f(x) = 0.5x + 25, Holly's charge can be represented by g(x) = 0.3x + 30.

Set the equations equal to each other: 0.5x + 25 = 0.3x + 30.

0.2x = 5

x = 25

Substitute 25 for x: f(x) = 0.5(25) + 25 = 37.5, g(x) = 0.3(25) + 30 = 37.5.

So f(x) = g(x) at x = 25, and the output will be 37.5.

20 points!!!! Freya is collecting 50p and £1 coins. When she has 18 coins the value of them is £13.

Let x be the number of 50p coins and y the number of £1 coins. Write a pair of simultaneous equations for this.

Answers

Answer:

x + y = 180.5x +y = 13

Step-by-step explanation:

The system of equations formalizes the given relationships regarding the number of coins and their value.

  x + y = 18 . . . . . . Freya has 18 coins

  0.50x +1.00y = 13 . . . . their value is £13

_____

Additional comment

The solution can be found by subtracting the second equation from the first:

  0.5x = 5

  x = 10

  y = 18 -10 = 8

Freya has 10 50p coins and 8 £1 coins.

I'LL GIVE BRAINLIEST AND THANKS, FIVE STARS TOO! PLEASE SOMEONE HELP ME! THIS IS DUE SOON, AND I DON'T KNOW WHAT TO PUT!! DUE TODAY!!! PLEASE HELP!

Reply to the discussion by summarizing one thing that you have learned about the connections between finding the GCF of numbers, the distributive property, multiplying polynomials, and factoring.

Answers

Answer:

ill try:

Learning about the connections between finding the GCF of numbers, the distributive property, multiplying polynomials, and factoring has helped me understand how to simplify and solve for equations. The distributive property taught me about how to easily simplifying equations, since the requirement is to just distribute the given to the number(s). Factoring has taught me how to make an equation easier to solve. For example, when I'm given a problem that has very large numbers, I can see if they have a GCF and this will help me solve the problem in no time!

I enjoyed learning about this and I found this module easy! Thank you!

Step-by-step explanation:

hope this helps! i tried my best from what i remember learning about this topic

Answer:

The GCF of numbers and distributive property work together in many ways

Please help (brainliest) 40 points

Answers

Answer:

So longest side is 6 units more then the shorter side

The third side is twice the length of the shortest side

The perimeter (all 3 sides added up) is 25.

What’s the 3 sides of the triangle.

So lets make variables.

Let’s make the shortest side of the triangle “s”.

The longest side is 6 units more then the shorter side so

S + 6 is the longest side.

The third side is twice the length of the shortest side so

2S is the third side

S of course is already the shortest side now solve.

s + 6 + 2s + s = 25 <— This is your equation

Now solve

4s + 6 =25

4s = 19

s = 4.75

The shortest side is 4.75

The longest side is 4.75 + 6 which is 10.75

The third side is 2 times the shortest side which is 4.75 * 2 which is 9.50

Answer:

Perimeter of a shape = sum of length of all sides

Let x = shortest side

Given:

shortest side = xlongest side = x + 6third side = 2xperimeter = 25

⇒ perimeter:   x + (x + 6) + 2x = 25

                                      4x + 6 = 25

                                             4x = 19

                                               x = 4.75

Therefore,

shortest side = 4.75 unitslongest side = 10.75 unitsthird side = 9.5 units

If △ABC is a right triangle, A = 37° and AB = 12, then find the lengths of B C and A C . Round your answers to the nearest integer

Answers

Answer:

BC= 9.04

AC= 15.0

mark brainliest

Answer:

  BC ≈ 9

  AC ≈ 15

Step-by-step explanation:

The side adjacent to the given angle is the one whose length is known, so the relevant trig relations are ...

  Cos = Adjacent/Hypotenuse   ⇒   cos(37°) = AB/AC

  Tan = Opposite/Adjacent   ⇒   tan(37°) = BC/AB

Then the unknown sides are ...

  AC = AB/cos(37°) = 12/cos(37°) ≈ 15

  BC = AB·tan(37°) = 12·tan(37°) ≈ 9

__

Additional comment

Rounded to the nearest degree, angles 37° and 53° are the acute angles found in a 3-4-5 right triangle. Since the given side is adjacent to the smallest acute angle (not the hypotenuse), it will correspond to "4" in the 3-4-5 triangle. That means the scale factor is 12/4 = 3, and the other two sides are 3·3 = 9 and 3·5 = 15.

The numbers work out this way only by rounding to tenths or integers.

What percent of 250 is 100?

Answers

Answer:

40%

Step-by-step explanation:

100 is 4p% of 250

hope it helped!

The balance in Ms. Almquist's bank account is $428.25. She goes on shopping spree and
spends $63.13 every hour for the next six hours. How much did she spend on clothing?

Answers

She spend $37,878 but I am not sure cause it say she has $428.25 in her bank I hope this helps


Need help in less than 5 minutes brainliest to the first/most helpful answer!! Need it speedy!!!!

Answers

Answer:

1.) True

2.) False

3.) True

4.) True

What happens when the slope increases? Write 4 sentence's

Answers

Answer:

The higher the slope, the steeper it is, the faster it increases. The faster we increase in the vertical direction as we increase in the horizontal direction. The graph of an increasing function has a positive slope. A line with a positive slope slants upward from left to right as in (a).

Step-by-step explanation:

Pls, choose me as brainliest!

An angle measures 46 degrees. What is the measure of its supplement?

Answers

Step-by-step explanation:

180°- 43° = 137°

because when angles are supplementary the add up to 180 degrees and since we have one of the angles we can easily find the other =>

Perform the following operation and express the answer in scientific notation 9.2x10^7 / 3.7x10^9

Answers

Answer:

the coefficient is 96 and the exponent is 16... should I explain how?

The solution of the expression is 2.486 * 10⁻².

What is Scientific Notation?

Scientific Notations are used to write very small and very large numbers.

The expression is (9.2 * 10⁷ ) / (3.7 *10⁹)

The exponent rule will be applied to solve this expression

[tex]\rm \dfrac{a^m}{a^n} = a^{m-n}[/tex]

9.2/3.7 = 2.486

10⁷ / 10⁹ = 10⁻²

The solution of the expression is 2.486 * 10⁻².

To know more about Scientific Notation

https://brainly.com/question/18073768

#SPJ2

Which cream cheese has the lowest price per ounce?

$5.29 for 14 oz

$2.59 for 6 oz

$4.29 for 12 oz

$2.89 for 8 oz

Answers

Answer:

C

Step-by-step explanation:

$4.29 for 12 oz

12 = 4.29

1 = ??
(1 * 4.29)/12 = 4.29/12 = 0.3575 is the lowest amongst others

The answer is C

Here is some help

Yesterday your math homework to Q 35 minutes and your English homework. Tookie 15 minutes today your math homework take you 25 minutes and your English homework to do 30 minutes. What percent of your homework time yesterday we spent on English?

Answers

Answer:

  30%

Step-by-step explanation:

To find the percentage spent on English, divide the amount of time spent on English by the total time, and express the fraction as a percent.

  Yesterday's time: Math, 35 minutes; English, 15 minutes

  English/Total = (15)/(15 +35) = 15/50 = 3/10

As a percentage, that is ...

  3/10 × 100% = 30%

Yesterday, you spent 30% of your homework time on English.

ratio 90kg to 2 : 3 : 7

Answers

Answer:

Please follow me back

Step-by-step explanation:

The Answer is 158

A sports trainer has monthly costs of $65. 94 for phone service and $42. 23 for his website and advertising. In addition, he pays a $30 fee to the gym for each session in which he trains a client. Write a cost function to represent the C(x) for x training sessions. C(x) =

Answers

Answer:

C(x) = 30x + 108.17

Hope this helps!

x = training sessions

$30 for each session (x) (independent variable)

$65. 94 and $42. 23 for monthly costs (fixed variable)

C(x) = 30x + (65.94+42.23)

C(x) = 30x + 108.17

How many buckets of water
will it take to fill the fish tank?

Answers

Answer:

3 more buckets

Step-by-step explanation:

since the bucket of water is 10 inch and the fish tank is 30 then

30 ÷ 10 = 3

5a-5b=5
a+b=3
Método sustitución

Answers

Answer:

a=2

b=1

Step-by-step explanation:

5a-5b=5

a+b=3

-a     -a

b=3-a

5a-5(3-a)=5

5a-5(3)-5(-a)=5

5a-15+5a=5

10a-15=5

10a=20

a=2

2+b=3

b=1

5(2)-5b=5

10-5b=5

-5b=-5

b=1

Answer:

a = 2

b = 1

Step-by-step explanation:

5a - 5b = 5

a + b = 3

----------------------

5(a + b = 3)

= 5a + 5b = 15

---------------------------

5a - 5b = 5

5a + 5b = 15

10a = 20

÷10    ÷10

a = 2

-----------------------------

a + b = 3

2 + b = 3

-2        -2

b = 1

---------------------------

I hope this helps!

Calculate the area of the shaded sector. KL = 20 ft

Answers

Answer:

415.39 [tex]ft^{2}[/tex]

Step-by-step explanation:

Q5. The coordinates of A and B on a number line are -7 and 9. The coordinates
of C and D on a number line -4 and 12. Are AB and CD congruent? If yes, what
is the length of each segment?

Answers

Answer:

are congruentlength: 16 units

Step-by-step explanation:

The length of a segment on a number line is the difference of its coordinates.

  AB = 9 -(-7) = 16

  CD = 12 -(-4) = 16

AB and CD both have a length of 16 units, so are congruent.


Which expression(s) are factors of -15abc - 45ab + 20abc?

Answers

Answer:

-5ab, 5ab, and ab.

Step-by-step explanation:

What is the exact value of sin(5π/4)?

− 1/2
√2/2
1/2
− √2/2

Answers

- square root 2 / 2. Sorry I don’t know how to make that symbol

Find the length of 1 side of square if the area is 49 sq.cm
method needed

Answers

Answer:

It would be 7cm

Step-by-step explanation:

please find step by step explanation on the picture

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer:

(8,0)

Step-by-step explanation

I need help quickly!!

Answers

Answer:

c. 73°

Step-by-step explanation:

Simply GNH is 47° by vertically opposite angle of MNL

NOW,

GNF+GNH+HNK=180° [ being straight line]

60+47+HNK=180

107+HNK=180

HNK=180-107=73

C. 73 degrees hope this helps

If it takes 2.3 liters of milk to make 2 pounds of cheese, how many pounds of cheese can you make with 50 liters of milk?

Answers

Answer:

10.9 pounds

Step-by-step explanation:

50 ÷ (2.3*2) = 10.869

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A manager wants to determine if an employee training program has increased her employees customer satisfaction ratings. She randomly selects 10 of the participating employees and compares their customer satisfaction ratings before and after the training. The results are shown in the table.Employee Before After Difference1 4.2 4.3 0.12 3.7 3.6 Negative 0.13 2.9 3 0.14 3.2 3.3 0.15 3.1 3 Negative 0.16 4.1 4.2 0.17 2.8 2.9 0.18 2.8 2.7 Negative 0.19 4 4.2 0.210 3.6 3.7 0.1How can the values in the Difference row of the table be interpreted?A. A negative difference means that the program was effective, and any positive differences can be ignored.B. A positive difference means that the employees rating increased after the program, and a negative difference means that the employees rating decreased after the program.C. A positive difference means that the employees rating decreased after the program, and a negative difference means that the employees rating increased after the program.D. 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