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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

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

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

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

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

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Frequently Asked Questions (FAQ)

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