What is expand e^{4x}(e^{2x}-4+e^{5x}) ?

The solution to expand e^{4x}(e^{2x}-4+e^{5x}) is e^{6x}-4e^{4x}+e^{9x}

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expand e^{4x}(e^{2x}-4+e^{5x})

expand

e^{4 x} (e^{2 x} - 4 + e^{5 x})

e^{6 x} - 4 e^{4 x} + e^{9 x}

Solution steps

e^{4 x} (e^{2 x} - 4 + e^{5 x})

Distribute parentheses

= e^{4 x} e^{2 x} + e^{4 x} (- 4) + e^{4 x} e^{5 x}

Apply minus-plus rules

+ (- a) = - a

= e^{4 x} e^{2 x} - 4 e^{4 x} + e^{4 x} e^{5 x}

Simplify

e^{4 x} e^{2 x} - 4 e^{4 x} + e^{4 x} e^{5 x} : e^{6 x} - 4 e^{4 x} + e^{9 x}

= e^{6 x} - 4 e^{4 x} + e^{9 x}

- 1 (26 x - 21 y - 69 z = 436)

(e^{x} - 1) (e^{y} - 1) e^{- x - y}

\frac{( t + 3 ) ( 3 t ^{2} + 5 )}{2 - 3 t}

(12, - 10) y (16, 10)

\frac{2 + 5 x}{( x - e ^{j} ) ( x - 0.8 )}

What is expand e^{4x}(e^{2x}-4+e^{5x}) ?
The solution to expand e^{4x}(e^{2x}-4+e^{5x}) is e^{6x}-4e^{4x}+e^{9x}