What is expand (6x^2+8x-82)/((x-2)(x^2+6x+5)) ?

The solution to expand (6x^2+8x-82)/((x-2)(x^2+6x+5)) is (6x^2+8x-82)/(x^3+4x^2-7x-10)

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expand (6x^2+8x-82)/((x-2)(x^2+6x+5))

expand

\frac{6 x ^{2} + 8 x - 82}{( x - 2 ) ( x ^{2} + 6 x + 5 )}

\frac{6 x ^{2} + 8 x - 82}{x ^{3} + 4 x ^{2} - 7 x - 10}

Solution steps

\frac{6 x ^{2} + 8 x - 82}{( x - 2 ) ( x ^{2} + 6 x + 5 )}

Expand

(x - 2) (x^{2} + 6 x + 5) : x^{3} + 4 x^{2} - 7 x - 10

= \frac{6 x ^{2} + 8 x - 82}{x ^{3} + 4 x ^{2} - 7 x - 10}

e^{4} (10 - x)

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

(4 x^{2} - x y + y^{2}) d x + x^{2} d y

π (1 - \frac{1}{e})

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

What is expand (6x^2+8x-82)/((x-2)(x^2+6x+5)) ?
The solution to expand (6x^2+8x-82)/((x-2)(x^2+6x+5)) is (6x^2+8x-82)/(x^3+4x^2-7x-10)