What is simplify-x(x-2)^2(2x+1)^2 ?

The solution to simplify-x(x-2)^2(2x+1)^2 is -x(x-2)^2(2x+1)^2

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simplify-x(x-2)^2(2x+1)^2

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(x - 2)^{2} (2 x + 1)^{2} = ((x - 2) (2 x + 1))^{2}

= - x ((x - 2) (2 x + 1))^{2}

((x - 2) (2 x + 1))^{2} = (x - 2)^{2} (2 x + 1)^{2}

= - x (x - 2)^{2} (2 x + 1)^{2}

(3 x^{2}) (2 x^{3})

(7 a)^{3}

What is simplify-x(x-2)^2(2x+1)^2 ?
The solution to simplify-x(x-2)^2(2x+1)^2 is -x(x-2)^2(2x+1)^2