What is (3x-2y)^2y(3x+2y)^2 ?

The solution to (3x-2y)^2y(3x+2y)^2 is y(3x-2y)^2(3x+2y)^2

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simplify (3x-2y)^2y(3x+2y)^2

simplify

(3 x - 2 y)^{2} y (3 x + 2 y)^{2}

y (3 x - 2 y)^{2} (3 x + 2 y)^{2}

Solution steps

(3 x - 2 y)^{2} y (3 x + 2 y)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(3 x - 2 y)^{2} (3 x + 2 y)^{2} = ((3 x - 2 y) (3 x + 2 y))^{2}

= y ((3 x - 2 y) (3 x + 2 y))^{2}

((3 x - 2 y) (3 x + 2 y))^{2} = (3 x - 2 y)^{2} (3 x + 2 y)^{2}

= y (3 x - 2 y)^{2} (3 x + 2 y)^{2}

(- 2)^{x} (- \frac{1}{2})^{x}

(1 + 3 x)^{- \frac{1}{2}}

e^{- t} sin (b t)

What is (3x-2y)^2y(3x+2y)^2 ?
The solution to (3x-2y)^2y(3x+2y)^2 is y(3x-2y)^2(3x+2y)^2