What is expand (xsqrt(1+\sqrt{x)})(1+sqrt(1+\sqrt{x)}) ?

The solution to expand (xsqrt(1+\sqrt{x)})(1+sqrt(1+\sqrt{x)}) is xsqrt(1+\sqrt{x)}+x+xsqrt(x)

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expand (xsqrt(1+\sqrt{x)})(1+sqrt(1+\sqrt{x)})

expand

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

x 1 + x + x + x x

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 x

= x 1 + x + x + x x

(x - 3) (x + \frac{1}{4}) (x - 2) (x^{2} + 1) (x + 3)

\frac{1}{( ( 2 n - 1 ) ( 2 n + 1 ) ( 2 n + 3 ) )}

- 48 e^{2 t} \cdot U (t - 4)

(7 cos (θ) - 5 sin (θ))^{2}

\frac{3 x ^{2} - 6 x - 7}{( x + 4 ) ( x - 3 )}

What is expand (xsqrt(1+\sqrt{x)})(1+sqrt(1+\sqrt{x)}) ?
The solution to expand (xsqrt(1+\sqrt{x)})(1+sqrt(1+\sqrt{x)}) is xsqrt(1+\sqrt{x)}+x+xsqrt(x)