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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

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