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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

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

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

(x - 1) (x + 1)

\frac{- 63}{- 7}

63 \cdot 6

(- 49)^{- \frac{3}{2}}

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