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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

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