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

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

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simplify sqrt(x)(1+sqrt(x))^2

simplify

x (1 + x)^{2}

x + 2 x + x x

Solution steps

x (1 + x)^{2}

Expand

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

= x (1 + 2 x + x)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

x (1 + 2 x + x) = x \cdot 1 + x \cdot 2 x + x x

= x \cdot 1 + x \cdot 2 x + x x

x \cdot 1 = x

x \cdot 2 x = 2 x

x x = x x

= x + 2 x + x x

\frac{( s ^{2} + 6 s + 9 )}{( s - 1 ) ( s - 2 ) ( s + 4 )}

i^{2}

(2 - 3)^{4}

2 (2 π + \frac{8 π ^{3}}{3}) cos (x)

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