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

The solution to expand (e^x+1)sqrt(e^x+2) is e^xsqrt(e^x+2)+sqrt(e^x+2)

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expand (e^x+1)sqrt(e^x+2)

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Multiply:

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

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

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

\frac{e ^{- 2 s}}{( s + 2 ) ( s + 3 )}

(2 x + 3) y^{'} (x)

\frac{6}{s ^{4} ( s ^{2} - 1 )}

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

What is expand (e^x+1)sqrt(e^x+2) ?
The solution to expand (e^x+1)sqrt(e^x+2) is e^xsqrt(e^x+2)+sqrt(e^x+2)