What is expand ex(e^2x+3ex+9) ?

The solution to expand ex(e^2x+3ex+9) is e^3x^2+3e^2x^2+9ex

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expand ex(e^2x+3ex+9)

expand

e x (e^{2} x + 3 e x + 9)

e^{3} x^{2} + 3 e^{2} x^{2} + 9 e x

Solution steps

e x (e^{2} x + 3 e x + 9)

Distribute parentheses

= e x e^{2} x + e x \cdot 3 e x + e x \cdot 9

= e^{2} e xx + 3 ee xx + 9 e x

Simplify

e^{2} e xx + 3 ee xx + 9 e x : e^{3} x^{2} + 3 e^{2} x^{2} + 9 e x

= e^{3} x^{2} + 3 e^{2} x^{2} + 9 e x

\frac{( 3 x + 1 ) ( x + 2 )}{2}

d (3 x y + e^{y})

\frac{2 ^{3}}{2 ^{5}}

\frac{32 x}{( x ^{2} + 3 ) ^{2}}

\frac{( 3 - 5 ( x + y ) ) ^{4}}{y}

What is expand ex(e^2x+3ex+9) ?
The solution to expand ex(e^2x+3ex+9) is e^3x^2+3e^2x^2+9ex