What is expand (n+sqrt(n))^3 ?

The solution to expand (n+sqrt(n))^3 is n^3+3n^2sqrt(n)+3n^2+nsqrt(n)

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expand (n+sqrt(n))^3

expand

(n + n)^{3}

n^{3} + 3 n^{2} n + 3 n^{2} + n n

Solution steps

(n + n)^{3}

Apply Perfect Cube Formula:

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

(n + n)^{3} = n^{3} + 3 n^{2} n + 3 n (n)^{2} + (n)^{3}

= n^{3} + 3 n^{2} n + 3 n (n)^{2} + (n)^{3}

Simplify

n^{3} + 3 n^{2} n + 3 n (n)^{2} + (n)^{3} : n^{3} + 3 n^{2} n + 3 n^{2} + n n

= n^{3} + 3 n^{2} n + 3 n^{2} + n n

10 (2 + lo g_{10} (913))

- 8 (1 - x)^{2}

e^{x + y} (x + y)

(sec (x) - 1) (se x + 1)

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

What is expand (n+sqrt(n))^3 ?
The solution to expand (n+sqrt(n))^3 is n^3+3n^2sqrt(n)+3n^2+nsqrt(n)