What is expand (3x^2+5)e^{x^3+5x} ?

The solution to expand (3x^2+5)e^{x^3+5x} is 3e^{x^3+5x}x^2+5e^{x^3+5x}

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expand (3x^2+5)e^{x^3+5x}

expand

(3 x^{2} + 5) e^{x^{3} + 5 x}

3 e^{x^{3} + 5 x} x^{2} + 5 e^{x^{3} + 5 x}

Solution steps

(3 x^{2} + 5) e^{x^{3} + 5 x}

= e^{x^{3} + 5 x} (3 x^{2} + 5)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x^{3} + 5 x}, b = 3 x^{2}, c = 5

= e^{x^{3} + 5 x} \cdot 3 x^{2} + e^{x^{3} + 5 x} \cdot 5

= 3 e^{x^{3} + 5 x} x^{2} + 5 e^{x^{3} + 5 x}

I n (x^{2} + 4 x + 5)^{3}

\frac{10 ( s + 2 ) ^{2}}{( s ^{2} + 2 s + 2 ) ^{2}}

x^{2} (x ln (x) - x)

\frac{( x + 2 ) ( 2 x - 1 )}{2}

(r + e)^{3} + (r + e)^{2}

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