What is expand (-18x^2-18x-15)/((3x^2+3x-1)^2) ?

The solution to expand (-18x^2-18x-15)/((3x^2+3x-1)^2) is (-18x^2-18x-15)/(9x^4+18x^3+3x^2-6x+1)

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expand (-18x^2-18x-15)/((3x^2+3x-1)^2)

expand

\frac{- 18 x ^{2} - 18 x - 15}{( 3 x ^{2} + 3 x - 1 ) ^{2}}

\frac{- 18 x ^{2} - 18 x - 15}{9 x ^{4} + 18 x ^{3} + 3 x ^{2} - 6 x + 1}

Solution steps

\frac{- 18 x ^{2} - 18 x - 15}{( 3 x ^{2} + 3 x - 1 ) ^{2}}

(3 x^{2} + 3 x - 1)^{2} = 9 x^{4} + 18 x^{3} + 3 x^{2} - 6 x + 1

= \frac{- 18 x ^{2} - 18 x - 15}{9 x ^{4} + 18 x ^{3} + 3 x ^{2} - 6 x + 1}

\frac{10}{3 x ( x + 1 )}

(1 + 2 x) (1 + \frac{x}{2})^{9}

\frac{1}{2} (x + \frac{1}{6} sin (6 x))

(5 x^{2} - 3 x - 1)^{6}

(x + 1 - 2) \cdot (x + 1 + 2)

What is expand (-18x^2-18x-15)/((3x^2+3x-1)^2) ?
The solution to expand (-18x^2-18x-15)/((3x^2+3x-1)^2) is (-18x^2-18x-15)/(9x^4+18x^3+3x^2-6x+1)