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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

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

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

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Frequently Asked Questions (FAQ)

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