What is expand (3x^2-5x-17)/((x+3)(x-2)^2) ?

The solution to expand (3x^2-5x-17)/((x+3)(x-2)^2) is (3x^2-5x-17)/(x^3-x^2-8x+12)

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expand (3x^2-5x-17)/((x+3)(x-2)^2)

expand

\frac{3 x ^{2} - 5 x - 17}{( x + 3 ) ( x - 2 ) ^{2}}

\frac{3 x ^{2} - 5 x - 17}{x ^{3} - x ^{2} - 8 x + 12}

Solution steps

\frac{3 x ^{2} - 5 x - 17}{( x + 3 ) ( x - 2 ) ^{2}}

(x - 2)^{2} = x^{2} - 4 x + 4

= \frac{3 x ^{2} - 5 x - 17}{( x + 3 ) ( x ^{2} - 4 x + 4 )}

Expand

(x + 3) (x^{2} - 4 x + 4) : x^{3} - x^{2} - 8 x + 12

= \frac{3 x ^{2} - 5 x - 17}{x ^{3} - x ^{2} - 8 x + 12}

(e^{3 x} + sin (2 x))^{4}

3 (6 ln (3 x + 7) + 9)

x^{\frac{4}{5}} (x - 5)

x^{\frac{4}{5}} (x - 4)

\frac{x + 3}{x ( x - 9 )}

What is expand (3x^2-5x-17)/((x+3)(x-2)^2) ?
The solution to expand (3x^2-5x-17)/((x+3)(x-2)^2) is (3x^2-5x-17)/(x^3-x^2-8x+12)