What is expand (xsqrt(1+x))(1+sqrt(1+x)) ?

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

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expand (xsqrt(1+x))(1+sqrt(1+x))

expand

(x 1 + x) (1 + 1 + x)

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

Solution steps

(x 1 + x) (1 + 1 + x)

Apply the distributive law:

a (b + c) = ab + a c

(x 1 + x) (1 + 1 + x) = x 1 + x \cdot 1 + x 1 + x 1 + x

= x 1 + x \cdot 1 + x 1 + x 1 + x

Simplify

x 1 + x \cdot 1 + x 1 + x 1 + x : x 1 + x + x (1 + x)

= x 1 + x + x (1 + x)

Expand

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

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

\frac{\partial}{\partial y} ((z) (3 x^{2} y + 4 x y^{2}))

(- 2 b - 3 c)^{2}

\frac{4 ( x - 3 )}{x + 3}

x i \cdot (x i + 1) \cdot (x i + 3)

e^{x} \times (5 x^{2} - 3)

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