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

The solution to expand (a^2(b-x))/((x+b)^3) is (a^2b-a^2x)/(x^3+3bx^2+3b^2x+b^3)

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

expand

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

\frac{a ^{2} b - a ^{2} x}{x ^{3} + 3 b x ^{2} + 3 b ^{2} x + b ^{3}}

Solution steps

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

(x + b)^{3} = x^{3} + 3 b x^{2} + 3 b^{2} x + b^{3}

= \frac{a ^{2} ( - x + b )}{x ^{3} + 3 b x ^{2} + 3 b ^{2} x + b ^{3}}

Expand

a^{2} (b - x) : a^{2} b - a^{2} x

= \frac{a ^{2} b - a ^{2} x}{x ^{3} + 3 b x ^{2} + 3 b ^{2} x + b ^{3}}

\frac{12}{6} (1 - e^{- 6 \cdot \frac{0.25}{0 , 48}})

\frac{1}{( 2 n - 1 ) ( 2 n - 3 )}

\frac{2}{x ( x ^{2} + 5 s + 4 )}

\frac{3 s ^{2} + 12 s - 3}{( s + 1 ) ( 3 s ^{2} - 2 s - 3 )}

(x + Δ x)^{2} [(x + Δ x)^{2} + (y + Δ y)^{2}]

What is expand (a^2(b-x))/((x+b)^3) ?
The solution to expand (a^2(b-x))/((x+b)^3) is (a^2b-a^2x)/(x^3+3bx^2+3b^2x+b^3)