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Popular >

simplify (x+2y)^2*(x-2y)^2

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

What is (x+2y)^2*(x-2y)^2 ?
The solution to (x+2y)^2*(x-2y)^2 is (x+2y)^2(x-2y)^2