What is expand (2(x^2+5x-3))/(x^2-x-12) ?

The solution to expand (2(x^2+5x-3))/(x^2-x-12) is (2x^2+10x-6)/(x^2-x-12)

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expand (2(x^2+5x-3))/(x^2-x-12)

expand

\frac{2 ( x ^{2} + 5 x - 3 )}{x ^{2} - x - 12}

\frac{2 x ^{2} + 10 x - 6}{x ^{2} - x - 12}

Solution steps

\frac{2 ( x ^{2} + 5 x - 3 )}{x ^{2} - x - 12}

Expand

2 (x^{2} + 5 x - 3) : 2 x^{2} + 10 x - 6

= \frac{2 x ^{2} + 10 x - 6}{x ^{2} - x - 12}

- \frac{2}{( x - 2 ) ^{2}}

\frac{( x + 1 ) ( x ^{2} - x ) ^{2} ( x ^{2} - 5 x + 6 )}{x ^{2} - 2 x - 4}

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

\frac{x ^{2} - 8 x + 7}{( - x + 4 ) ^{2}}

(3, - 2) y (3, 7)

What is expand (2(x^2+5x-3))/(x^2-x-12) ?
The solution to expand (2(x^2+5x-3))/(x^2-x-12) is (2x^2+10x-6)/(x^2-x-12)