What is expand (a+eb)^3 ?

The solution to expand (a+eb)^3 is a^3+3ea^2b+3e^2ab^2+e^3b^3

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expand (a+eb)^3

expand

(a + e b)^{3}

a^{3} + 3 e a^{2} b + 3 e^{2} a b^{2} + e^{3} b^{3}

Solution steps

(a + e b)^{3}

Apply Perfect Cube Formula:

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

a = a, b = e b

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

Simplify

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

= a^{3} + 3 e a^{2} b + 3 e^{2} a b^{2} + e^{3} b^{3}

(2 x^{3} - x y^{2} - 2 y + 3) d x

ln (e^{x})

\frac{x ^{2} - 4 x - 1}{( x + 4 ) ( x + 2 )}

(2 - i) (4_{180}^{\circ})

X (X^{^{'}} + Y)

What is expand (a+eb)^3 ?
The solution to expand (a+eb)^3 is a^3+3ea^2b+3e^2ab^2+e^3b^3