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Popular >

simplify (x^3-1/(4x^3))^2

Solution

simplify

(x^{3} - \frac{1}{4 x ^{3}})^{2}

Solution

\frac{( 4 x ^{6} - 1 ) ^{2}}{16 x ^{6}}

Solution steps

(x^{3} - \frac{1}{4 x ^{3}})^{2}

Join

x^{3} - \frac{1}{4 x ^{3}} : \frac{4 x ^{6} - 1}{4 x ^{3}}

= (\frac{4 x ^{6} - 1}{4 x ^{3}})^{2}

Apply exponent rule:

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

= \frac{( 4 x ^{6} - 1 ) ^{2}}{( 4 x ^{3} ) ^{2}}

Simplify

(4 x^{3})^{2} : 16 x^{6}

= \frac{( 4 x ^{6} - 1 ) ^{2}}{16 x ^{6}}

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Frequently Asked Questions (FAQ)

What is (x^3-1/(4x^3))^2 ?
The solution to (x^3-1/(4x^3))^2 is ((4x^6-1)^2)/(16x^6)