What is (5x-y)(5x+y)(25x^2y^2) ?

The solution to (5x-y)(5x+y)(25x^2y^2) is 25x^2y^2(5x-y)(5x+y)

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simplify (5x-y)(5x+y)(25x^2y^2)

simplify

(5 x - y) (5 x + y) (25 x^{2} y^{2})

25 x^{2} y^{2} (5 x - y) (5 x + y)

Solution steps

(5 x - y) (5 x + y) (25 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 y)^{2}

= 25 (5 x - y) (5 x + y) (x y)^{2}

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

= 25 x^{2} y^{2} (5 x - y) (5 x + y)

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What is (5x-y)(5x+y)(25x^2y^2) ?
The solution to (5x-y)(5x+y)(25x^2y^2) is 25x^2y^2(5x-y)(5x+y)