What is expand ((x+y-2)^3)/(y+1) ?

The solution to expand ((x+y-2)^3)/(y+1) is (x^3+3x^2y-6x^2+3xy^2-12xy+12x+y^3-6y^2+12y-8)/(y+1)

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expand ((x+y-2)^3)/(y+1)

expand

\frac{( x + y - 2 ) ^{3}}{y + 1}

\frac{x ^{3} + 3 x ^{2} y - 6 x ^{2} + 3 x y ^{2} - 12 x y + 12 x + y ^{3} - 6 y ^{2} + 12 y - 8}{y + 1}

Solution steps

\frac{( x + y - 2 ) ^{3}}{y + 1}

(x + y - 2)^{3} = x^{3} + 3 x^{2} y - 6 x^{2} + 3 x y^{2} - 12 x y + 12 x + y^{3} - 6 y^{2} + 12 y - 8

= \frac{x ^{3} + 3 x ^{2} y - 6 x ^{2} + 3 x y ^{2} - 12 x y + 12 x + y ^{3} - 6 y ^{2} + 12 y - 8}{y + 1}

(sin (θ) - 1) \cdot (3 sin (θ))

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

\frac{1}{s ( s ^{2} + a ^{2} ) ^{2}}

(e^{- x} + e^{x})^{3}

11 (7 + 2)

What is expand ((x+y-2)^3)/(y+1) ?
The solution to expand ((x+y-2)^3)/(y+1) is (x^3+3x^2y-6x^2+3xy^2-12xy+12x+y^3-6y^2+12y-8)/(y+1)