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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

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

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

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Frequently Asked Questions (FAQ)

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