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

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

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

expand

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

e^{2 x + x^{2}} + 1 + e^{2 x + x^{2}} x + x

Solution steps

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

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

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

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

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

Simplify

1 \cdot e^{2 x + x^{2}} + 1 \cdot 1 + e^{2 x + x^{2}} x + 1 \cdot x : e^{2 x + x^{2}} + 1 + e^{2 x + x^{2}} x + x

= e^{2 x + x^{2}} + 1 + e^{2 x + x^{2}} x + x

- \frac{3 h}{x ( x + h )}

y (x^{2} + y^{2} = 1)

\frac{18}{( x - 3 ) ^{2}}

\frac{1}{s \cdot ( 1 + T s )}

\frac{a ^{2} + 1}{a ( a + 1 )}

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