What is expand (1+sqrt(x))^3 ?

The solution to expand (1+sqrt(x))^3 is 1+3sqrt(x)+3x+xsqrt(x)

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expand (1+sqrt(x))^3

expand

(1 + x)^{3}

1 + 3 x + 3 x + x x

Solution steps

(1 + x)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(1 + x)^{3} = 1^{3} + 3 \cdot 1^{2} x + 3 \cdot 1 \cdot (x)^{2} + (x)^{3}

= 1^{3} + 3 \cdot 1^{2} x + 3 \cdot 1 \cdot (x)^{2} + (x)^{3}

Simplify

1^{3} + 3 \cdot 1^{2} x + 3 \cdot 1 \cdot (x)^{2} + (x)^{3} : 1 + 3 x + 3 x + x x

= 1 + 3 x + 3 x + x x

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

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(r - 3 - 11)^{2}

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

\frac{x ^{2}}{16} + \frac{( 10 - x ) ^{2}}{4 π}

What is expand (1+sqrt(x))^3 ?
The solution to expand (1+sqrt(x))^3 is 1+3sqrt(x)+3x+xsqrt(x)