What is expand (x^2+10x-36)/(x(x-3)^2) ?

The solution to expand (x^2+10x-36)/(x(x-3)^2) is (x^2+10x-36)/(x^3-6x^2+9x)

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expand (x^2+10x-36)/(x(x-3)^2)

expand

\frac{x ^{2} + 10 x - 36}{x ( x - 3 ) ^{2}}

\frac{x ^{2} + 10 x - 36}{x ^{3} - 6 x ^{2} + 9 x}

Solution steps

\frac{x ^{2} + 10 x - 36}{x ( x - 3 ) ^{2}}

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

= \frac{x ^{2} + 10 x - 36}{x ( x ^{2} - 6 x + 9 )}

Expand

x (x^{2} - 6 x + 9) : x^{3} - 6 x^{2} + 9 x

= \frac{x ^{2} + 10 x - 36}{x ^{3} - 6 x ^{2} + 9 x}

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

(w - \frac{5}{7}) (w - \frac{3}{4})

\frac{1}{5} (10 x - 25)

3 (10 + 5)

(- 2 e^{t} sin (2 t) + e^{t} cos (2 t))^{2}

What is expand (x^2+10x-36)/(x(x-3)^2) ?
The solution to expand (x^2+10x-36)/(x(x-3)^2) is (x^2+10x-36)/(x^3-6x^2+9x)