What is expand e^{2x}(x^3+1) ?

The solution to expand e^{2x}(x^3+1) is e^{2x}x^3+e^{2x}

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expand e^{2x}(x^3+1)

expand

e^{2 x} (x^{3} + 1)

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

Solution steps

e^{2 x} (x^{3} + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 x}, b = x^{3}, c = 1

= e^{2 x} x^{3} + e^{2 x} \cdot 1

= e^{2 x} x^{3} + 1 \cdot e^{2 x}

Multiply:

1 \cdot e^{2 x} = e^{2 x}

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

(3 a + 4 c = 8, 2) - (2 a + 3 c = 58)

(sin (a) + sin (b))^{2} + cos (a) - cos (b)

\frac{4 ( - 3 s ^{2} + 12 s - 8 )}{( s ^{2} - 4 s + 8 ) ^{3}}

(3 + 4 i)^{10}

(sec (A) - tan (A))^{2}

What is expand e^{2x}(x^3+1) ?
The solution to expand e^{2x}(x^3+1) is e^{2x}x^3+e^{2x}