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

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

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

expand

x (x^{3} e^{5 x} + 4)

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

Solution steps

x (x^{3} e^{5 x} + 4)

= x (e^{5 x} x^{3} + 4)

Apply the distributive law:

a (b + c) = ab + a c

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

= x x^{3} e^{5 x} + x \cdot 4

= e^{5 x} x^{3} x + 4 x

e^{5 x} x^{3} x = e^{5 x} x^{4}

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

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\frac{2000 ( - x ^{2} + 64 )}{( x ^{2} + 64 ) ^{2}}

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