What is ((2y^3)/(y^6-1))^2 ?

The solution to ((2y^3)/(y^6-1))^2 is (4y^6)/((y^6-1)^2)

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simplify ((2y^3)/(y^6-1))^2

simplify

(\frac{2 y ^{3}}{y ^{6} - 1})^{2}

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

Solution steps

(\frac{2 y ^{3}}{y ^{6} - 1})^{2}

Apply exponent rule:

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

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

Simplify

(2 y^{3})^{2} : 4 y^{6}

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

64 a^{3} - 729

2 + \frac{4}{3}

8275

\frac{x - 2}{2 x - 5} < 0

5 a x^{2} - 5 x + 3 x^{3} - 3 x^{2}

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