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Popular >

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

Solution

simplify

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

Solution

\frac{( x ^{5} - 1 ) ^{3}}{x ^{6}}

Solution steps

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

Join

x^{3} - \frac{1}{x ^{2}} : \frac{x ^{5} - 1}{x ^{2}}

= (\frac{x ^{5} - 1}{x ^{2}})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x ^{5} - 1 ) ^{3}}{( x ^{2} ) ^{3}}

Simplify

(x^{2})^{3} : x^{6}

= \frac{( x ^{5} - 1 ) ^{3}}{x ^{6}}

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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^5-1)^3)/(x^6)