What is expand x^3(x^3+2/5-4e^{-x}) ?

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

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expand x^3(x^3+2/5-4e^{-x})

expand

x^{3} (x^{3} + \frac{2}{5} - 4 e^{- x})

x^{6} + \frac{2 x ^{3}}{5} - 4 e^{- x} x^{3}

Solution steps

x^{3} (x^{3} + \frac{2}{5} - 4 e^{- x})

Distribute parentheses

= x^{3} x^{3} + x^{3} \frac{2}{5} + x^{3} (- 4 e^{- x})

Apply minus-plus rules

+ (- a) = - a

= x^{3} x^{3} + \frac{2}{5} x^{3} - 4 e^{- x} x^{3}

Simplify

x^{3} x^{3} + \frac{2}{5} x^{3} - 4 e^{- x} x^{3} : x^{6} + \frac{2 x ^{3}}{5} - 4 e^{- x} x^{3}

= x^{6} + \frac{2 x ^{3}}{5} - 4 e^{- x} x^{3}

\frac{( x ^{2} + 7 x + 3 )}{( x ^{2} ( x + 3 ) )}

\frac{E}{s ( R + L s )}

g (t, x)^{^{''}} (t, x) - 6 (- 6 e^{- 3 x^{2}} x^{2} + e^{- 3 x^{2}})

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

(e - 1) 2

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