What is expand (sqrt(a)+sqrt(b))^3 ?

The solution to expand (sqrt(a)+sqrt(b))^3 is asqrt(a)+3asqrt(b)+3bsqrt(a)+bsqrt(b)

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expand (sqrt(a)+sqrt(b))^3

expand

(a + b)^{3}

a a + 3 a b + 3 b a + b b

Solution steps

(a + b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= a a + 3 a b + 3 b a + b b

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

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

(1 + \frac{x}{2})^{8}

(6 x - i)^{2}

What is expand (sqrt(a)+sqrt(b))^3 ?
The solution to expand (sqrt(a)+sqrt(b))^3 is asqrt(a)+3asqrt(b)+3bsqrt(a)+bsqrt(b)