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

The solution to expand y^3(10-6y+e^{-3x}) is 10y^3-6y^4+e^{-3x}y^3

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

expand

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

10 y^{3} - 6 y^{4} + e^{- 3 x} y^{3}

Solution steps

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

6 y^{3} y = 6 y^{4}

= 10 y^{3} - 6 y^{4} + e^{- 3 x} y^{3}

[cos (2 t) \cdot u (t - 2 π)] [3 (1 - u (t - 2 π))]

f (- 3, - 2)

\frac{s - 2 s ^{2} - 2}{s ^{2} ( s - 2 ) ( s ^{2} + 1 )}

\frac{1}{( S + 1 ) ^{2}}

\frac{160}{( t + 1 ) ^{2}}

What is expand y^3(10-6y+e^{-3x}) ?
The solution to expand y^3(10-6y+e^{-3x}) is 10y^3-6y^4+e^{-3x}y^3