What is expand e^{3x}(10-6y+e^{-3x}) ?

The solution to expand e^{3x}(10-6y+e^{-3x}) is 10e^{3x}-6e^{3x}y+1

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expand e^{3x}(10-6y+e^{-3x})

expand

e^{3 x} (10 - 6 y + e^{- 3 x})

10 e^{3 x} - 6 e^{3 x} y + 1

Solution steps

e^{3 x} (10 - 6 y + e^{- 3 x})

Distribute parentheses

= e^{3 x} \cdot 10 + e^{3 x} (- 6 y) + e^{3 x} e^{- 3 x}

Apply minus-plus rules

+ (- a) = - a

= 10 e^{3 x} - 6 e^{3 x} y + e^{3 x} e^{- 3 x}

e^{3 x} e^{- 3 x} = 1

= 10 e^{3 x} - 6 e^{3 x} y + 1

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

\frac{20 n ( n + 1 )}{2}

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

(x + \frac{1}{x})^{9}

m (m - 2)

What is expand e^{3x}(10-6y+e^{-3x}) ?
The solution to expand e^{3x}(10-6y+e^{-3x}) is 10e^{3x}-6e^{3x}y+1