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

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

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

expand

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

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

Solution steps

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

(b - a)^{2} = b^{2} - 2 ab + a^{2}

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

Expand

a^{2} (2 a - 3 b) + b^{3} : 2 a^{3} - 3 a^{2} b + b^{3}

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

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

d es p e ja r (x^{2} - y^{2} + x - 1)

, (3 - 2 t) (1 - t) (- 2)

\frac{( 3 v + 1 )}{v ( v + 1 )}

\frac{e ^{ia x}}{( z ^{2} + b ^{2} ) ^{2}}

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