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Popular >

simplify [(2x-y)^2-(2x+y)^2]^2

Solution

simplify

[(2 x - y)^{2} - (2 x + y)^{2}]^{2}

Solution

64 x^{2} y^{2}

Solution steps

((2 x - y)^{2} - (2 x + y)^{2})^{2}

Expand

(2 x - y)^{2} - (2 x + y)^{2} : - 8 x y

= (- 8 x y)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 8 x y)^{2} = (8 x y)^{2}

= (8 x y)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(8 x y)^{2} = 8^{2} x^{2} y^{2}

= 8^{2} x^{2} y^{2}

8^{2} = 64

= 64 x^{2} y^{2}

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Frequently Asked Questions (FAQ)

What is [(2x-y)^2-(2x+y)^2]^2 ?
The solution to [(2x-y)^2-(2x+y)^2]^2 is 64x^2y^2