What is expand (y+ey)^3 ?

The solution to expand (y+ey)^3 is y^3+3ey^3+3e^2y^3+e^3y^3

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expand (y+ey)^3

expand

(y + ey)^{3}

y^{3} + 3 e y^{3} + 3 e^{2} y^{3} + e^{3} y^{3}

Solution steps

(y + ey)^{3}

Apply Perfect Cube Formula:

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

a = y, b = ey

= y^{3} + 3 y^{2} ey + 3 y (ey)^{2} + (ey)^{3}

Simplify

y^{3} + 3 y^{2} ey + 3 y (ey)^{2} + (ey)^{3} : y^{3} + 3 e y^{3} + 3 e^{2} y^{3} + e^{3} y^{3}

= y^{3} + 3 e y^{3} + 3 e^{2} y^{3} + e^{3} y^{3}

\frac{5}{s ^{2} ( s - 1 )}

\frac{4}{( ( s - 3 ) ( s ^{2} + 9 ) )}

\frac{2 e ^{- 3 s}}{s ( s - 2 ) ^{2}}

42 (1 + 3) + \frac{686 π}{3}

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

What is expand (y+ey)^3 ?
The solution to expand (y+ey)^3 is y^3+3ey^3+3e^2y^3+e^3y^3