What is expand e^{3x^5-2x^2}(15x^4-4x) ?

The solution to expand e^{3x^5-2x^2}(15x^4-4x) is 15e^{3x^5-2x^2}x^4-4e^{3x^5-2x^2}x

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expand e^{3x^5-2x^2}(15x^4-4x)

expand

e^{3 x^{5} - 2 x^{2}} (15 x^{4} - 4 x)

15 e^{3 x^{5} - 2 x^{2}} x^{4} - 4 e^{3 x^{5} - 2 x^{2}} x

Solution steps

e^{3 x^{5} - 2 x^{2}} (15 x^{4} - 4 x)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{3 x^{5} - 2 x^{2}}, b = 15 x^{4}, c = 4 x

= e^{3 x^{5} - 2 x^{2}} \cdot 15 x^{4} - e^{3 x^{5} - 2 x^{2}} \cdot 4 x

= 15 e^{3 x^{5} - 2 x^{2}} x^{4} - 4 e^{3 x^{5} - 2 x^{2}} x

\frac{( g + V sin ( θ ) k ) x}{kV cos ( θ )}

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

\frac{0.01}{s ( 0.04 s ^{3} + 0.18 s ^{2} + 0.2 s )}

(x^{3} + b + 1)^{3} \cdot x^{2}

\frac{( 2 p + 6 ) p}{2 p + 3}

What is expand e^{3x^5-2x^2}(15x^4-4x) ?
The solution to expand e^{3x^5-2x^2}(15x^4-4x) is 15e^{3x^5-2x^2}x^4-4e^{3x^5-2x^2}x