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Popular >

simplify x^3(1-x^2)^3

Solution

simplify

x^{3} (1 - x^{2})^{3}

Solution

x^{3} (- x^{2} + 1)^{3}

Solution steps

x^{3} (1 - x^{2})^{3}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

x^{3} (- x^{2} + 1)^{3} = (x (- x^{2} + 1))^{3}

= (x (- x^{2} + 1))^{3}

Apply exponent rule:

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

= x^{3} (- x^{2} + 1)^{3}

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Frequently Asked Questions (FAQ)

What is x^3(1-x^2)^3 ?
The solution to x^3(1-x^2)^3 is x^3(-x^2+1)^3