What is expand (8a^2b-32b^3)/(x^2+2(a-2b)x-8ab) ?

The solution to expand (8a^2b-32b^3)/(x^2+2(a-2b)x-8ab) is (8a^2b-32b^3)/(x^2+2ax-4bx-8ab)

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expand (8a^2b-32b^3)/(x^2+2(a-2b)x-8ab)

expand

\frac{8 a ^{2} b - 32 b ^{3}}{x ^{2} + 2 ( a - 2 b ) x - 8 ab}

\frac{8 a ^{2} b - 32 b ^{3}}{x ^{2} + 2 a x - 4 b x - 8 ab}

Solution steps

\frac{8 a ^{2} b - 32 b ^{3}}{x ^{2} + 2 ( a - 2 b ) x - 8 ab}

Expand

x^{2} + 2 (a - 2 b) x - 8 ab : x^{2} + 2 a x - 4 b x - 8 ab

= \frac{8 a ^{2} b - 32 b ^{3}}{x ^{2} + 2 a x - 4 b x - 8 ab}

\frac{i 400}{( 32 - 21 i )}

\frac{d}{d t} ((x) (x^{2} + 3 x - 6))

e^{t} (cos (3 t) + i sin (3 t)) (- 2 + i)

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

What is expand (8a^2b-32b^3)/(x^2+2(a-2b)x-8ab) ?
The solution to expand (8a^2b-32b^3)/(x^2+2(a-2b)x-8ab) is (8a^2b-32b^3)/(x^2+2ax-4bx-8ab)