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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

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

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

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

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

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Frequently Asked Questions (FAQ)

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