What is expand (15x^2)/((2x^3+1)^2) ?

The solution to expand (15x^2)/((2x^3+1)^2) is (15x^2)/(4x^6+4x^3+1)

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expand (15x^2)/((2x^3+1)^2)

expand

\frac{15 x ^{2}}{( 2 x ^{3} + 1 ) ^{2}}

\frac{15 x ^{2}}{4 x ^{6} + 4 x ^{3} + 1}

Solution steps

\frac{15 x ^{2}}{( 2 x ^{3} + 1 ) ^{2}}

(2 x^{3} + 1)^{2} = 4 x^{6} + 4 x^{3} + 1

= \frac{15 x ^{2}}{4 x ^{6} + 4 x ^{3} + 1}

(e^{x} + 2 e^{- x})^{2}

\frac{d}{d h} ((3 h^{2} + 4) 23) - 8

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

\frac{2 ( s - 1 )}{s ^{4} + s ^{2} + 1}

\frac{( x + h ) ^{3} - 3 a x ^{2} + 2 b x + c}{h}

What is expand (15x^2)/((2x^3+1)^2) ?
The solution to expand (15x^2)/((2x^3+1)^2) is (15x^2)/(4x^6+4x^3+1)