What is expand (e^{2x}+e^x)^3 ?

The solution to expand (e^{2x}+e^x)^3 is e^{6x}+3e^{5x}+3e^{4x}+e^{3x}

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expand (e^{2x}+e^x)^3

expand

(e^{2 x} + e^{x})^{3}

e^{6 x} + 3 e^{5 x} + 3 e^{4 x} + e^{3 x}

Solution steps

(e^{2 x} + e^{x})^{3}

Apply Perfect Cube Formula:

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

a = e^{2 x}, b = e^{x}

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

Simplify

(e^{2 x})^{3} + 3 (e^{2 x})^{2} e^{x} + 3 e^{2 x} (e^{x})^{2} + (e^{x})^{3} : e^{6 x} + 3 e^{5 x} + 3 e^{4 x} + e^{3 x}

= e^{6 x} + 3 e^{5 x} + 3 e^{4 x} + e^{3 x}

\frac{1}{3} (8 x - 9 y = 2)

(e + f) (e - f)

10 π (400 - 200 x)

(- 2, 3) y (1, - 4)

\frac{3}{( y - 4 ) y}

What is expand (e^{2x}+e^x)^3 ?
The solution to expand (e^{2x}+e^x)^3 is e^{6x}+3e^{5x}+3e^{4x}+e^{3x}