What is expand-(3x^2-13x+37)/((x+2)(x-3)^2) ?

The solution to expand-(3x^2-13x+37)/((x+2)(x-3)^2) is -(3x^2-13x+37)/(x^3-4x^2-3x+18)

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expand-(3x^2-13x+37)/((x+2)(x-3)^2)

expand

- \frac{3 x ^{2} - 13 x + 37}{( x + 2 ) ( x - 3 ) ^{2}}

- \frac{3 x ^{2} - 13 x + 37}{x ^{3} - 4 x ^{2} - 3 x + 18}

Solution steps

- \frac{3 x ^{2} - 13 x + 37}{( x + 2 ) ( x - 3 ) ^{2}}

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

= - \frac{3 x ^{2} - 13 x + 37}{( x + 2 ) ( x ^{2} - 6 x + 9 )}

Expand

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

= - \frac{3 x ^{2} - 13 x + 37}{x ^{3} - 4 x ^{2} - 3 x + 18}

x H (x - 1)

\frac{5 y - 3}{sec ^{2} ( x ) ( x ^{3} cos ^{2} ( x ) + 1 )}

\frac{x ^{2} + 2 x + 3.6}{x ( x + 1 ) ( x + 3.6 )}

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

\frac{3 π ( - 3 + 2 ) ρ ^{2}}{4}

What is expand-(3x^2-13x+37)/((x+2)(x-3)^2) ?
The solution to expand-(3x^2-13x+37)/((x+2)(x-3)^2) is -(3x^2-13x+37)/(x^3-4x^2-3x+18)