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3 years ago

Simplify (2x+y^2) (2y-4x-3y^2)

Mathematics

1 answer:

Naya [18.7K]3 years ago

5 0

explaining

Algebra

Simplify (2x^2)(4x^3y^2)

(2x2)(4x3y2)(2x2)(4x3y2)

Multiply x2x2 by x3x3 by adding the exponents.

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2x5(4y2)2x5(4y2)

Rewrite using the commutative property of multiplication.

2⋅4(x5y2)2⋅4(x5y2)

Multiply 22 by 44.

8x5y2

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Factorize completely the expression(h+2k)²+4k²-h²

julsineya [31]

The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

From the question,

We are to factorize the expression (h+2k)²+4k²-h² completely

The expression can be factorized as shown below

(h+2k)²+4k²-h² becomes

(h+2k)² + 2²k²-h²

(h+2k)² + (2k)²-h²

Using difference of two squares

The expression (2k)²-h² = (2k+h)(2k-h)

Then,

(h+2k)² + (2k)²-h² becomes

(h+2k)² + (2k +h)(2k-h)

This can be written as

(h+2k)² + (h +2k)(2k-h)

Now,

Factorizing, we get

(h +2k)[(h+2k) + (2k-h)]

Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

Learn more here:brainly.com/question/12486387

5 0

3 years ago

Read 2 more answers

The output of a function in 7 more than 3 times the input. find the input when the output is -8

kiruha [24]

7+ 3x= -8
-8-7=-15
-15 divided by 3= -5
-5 is the answer

4 0

3 years ago

What is the perimeter of the basement floor?

elena55 [62]

All you do is add up the sides of the walls, and you get your answer.

<3.

OG.

8 0

3 years ago

Read 2 more answers

Carlos performed a transformation on trapezoid EFGH to create E′F′G′H′, as shown in the figure below:

Nataliya [291]

Answer:

90° clockwise rotation or 270° anticlockwise rotation

Step-by-step explanation:

(x,y)=(y,-x)

E(-6,-4)=E'(-4,6)

F(-4,-4)=F'(-4,4)

G(-2,-6)=G'(-6,2)

H(-7,-7)=H'(-7,7)

Therefore, E prime is (-4,6), F prime is (-4,4), G prime is (-6,2) and H prime is (-7,7).

4 0

2 years ago

Find the length of UV.

katovenus [111]

7x-8 (2) = 12x+8
14x-16 = 12x+8
-12x -12x
2x-16 = 8
+16 +16
2x = 24

÷2 ÷2
x= 12

UV= 7x-8
UV= 7(12)-8
UV= 84-8
UV= 76

7 0

2 years ago