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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{4 x}, b = - 2 x^{2}, c = 5 x

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

Apply minus-plus rules

+ (- a) = - a

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

(x + x y) d y

\frac{1}{t ( l - t )}

\frac{3 ( 5 + 85 )}{5}

(2 x - 1) - (6 x)

\frac{5 s + 1}{( s - 1 ) ( s + 2 )}

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