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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

x + 2 x - 1 \cdot x - 2 x - 1

(1 - x)^{- 0.5}

- 4.196 \cdot 1 0^{- 3}

(a^{5} b^{5}) (a^{5} b^{3})

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