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

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

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expand sqrt(x)(e^{2x}+x^4)

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

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