What is (32-x)^2*(16-2x)^2 ?

The solution to (32-x)^2*(16-2x)^2 is (-x+32)^2(-2x+16)^2

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simplify (32-x)^2*(16-2x)^2

simplify

(32 - x)^{2} \cdot (16 - 2 x)^{2}

(- x + 32)^{2} (- 2 x + 16)^{2}

Solution steps

(32 - x)^{2} (16 - 2 x)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(- x + 32)^{2} (- 2 x + 16)^{2} = ((- x + 32) (- 2 x + 16))^{2}

= ((- x + 32) (- 2 x + 16))^{2}

Apply exponent rule:

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

= (- x + 32)^{2} (- 2 x + 16)^{2}

2^{- 3 4^{3}}

- 3 x^{4} y^{4}

e^{- 0.03 x^{1.2}}

x (m (m - 1) x^{m - 2})

What is (32-x)^2*(16-2x)^2 ?
The solution to (32-x)^2*(16-2x)^2 is (-x+32)^2(-2x+16)^2