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

The solution to xsqrt(1+x)*(1+sqrt(1+x)) is x(sqrt(1+x)+1+x)

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simplify xsqrt(1+x)*(1+sqrt(1+x))

simplify

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

x (1 + x + 1 + x)

Solution steps

x 1 + x (1 + 1 + x)

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

1 + x \cdot 1 + 1 + x 1 + x : 1 + x + 1 + x

= x (1 + x + 1 + x)

39 \cdot 5

(tan (t) + 1)^{2}

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

x (x + 3)^{2}

x^{2} (1 - x^{\frac{2}{3}})

What is xsqrt(1+x)*(1+sqrt(1+x)) ?
The solution to xsqrt(1+x)*(1+sqrt(1+x)) is x(sqrt(1+x)+1+x)