What is expand (2x^2+11x+m)/((2x+3)(x-5)) ?

The solution to expand (2x^2+11x+m)/((2x+3)(x-5)) is (2x^2+11x+m)/(2x^2-7x-15)

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expand (2x^2+11x+m)/((2x+3)(x-5))

expand

\frac{2 x ^{2} + 11 x + m}{( 2 x + 3 ) ( x - 5 )}

\frac{2 x ^{2} + 11 x + m}{2 x ^{2} - 7 x - 15}

Solution steps

\frac{2 x ^{2} + 11 x + m}{( 2 x + 3 ) ( x - 5 )}

Expand

(2 x + 3) (x - 5) : 2 x^{2} - 7 x - 15

= \frac{2 x ^{2} + 11 x + m}{2 x ^{2} - 7 x - 15}

\frac{s + 2}{( s ^{2} + 3 s + 5 ) ( s + 1 )}

\frac{100}{s ( 0.5 s + 1 )} + \frac{10}{0.5 s + 1}

- 12 (- 10 x^{2} - 13 x + 13)^{2}

\frac{s - 2}{( s - 5 ) ( s + 1 )}

(2 x - 1) d x

What is expand (2x^2+11x+m)/((2x+3)(x-5)) ?
The solution to expand (2x^2+11x+m)/((2x+3)(x-5)) is (2x^2+11x+m)/(2x^2-7x-15)