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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

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