What is expand (2n+5)^3 ?

The solution to expand (2n+5)^3 is 8n^3+60n^2+150n+125

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expand (2n+5)^3

expand

(2 n + 5)^{3}

8 n^{3} + 60 n^{2} + 150 n + 125

Solution steps

(2 n + 5)^{3}

Apply Perfect Cube Formula:

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

(2 n + 5)^{3} = (2 n)^{3} + 3 (2 n)^{2} \cdot 5 + 3 \cdot 2 n \cdot 5^{2} + 5^{3}

= (2 n)^{3} + 3 (2 n)^{2} \cdot 5 + 3 \cdot 2 n \cdot 5^{2} + 5^{3}

Simplify

(2 n)^{3} + 3 (2 n)^{2} \cdot 5 + 3 \cdot 2 n \cdot 5^{2} + 5^{3} : 8 n^{3} + 60 n^{2} + 150 n + 125

= 8 n^{3} + 60 n^{2} + 150 n + 125

(x + (\frac{9 y}{2}) - 2 x - 2 - 5 y - (\frac{5}{2}) + 28)^{2}

27 + 27 x + 9 x^{2} + x^{3}

2 (4 x) + 3 (6 y) - 24

\frac{cos ^{2} ( a ) - cos ^{2} ( a )}{cos ^{2} ( cos ^{2} ( x ) )}

\frac{( 16 x ^{3} - 6 x ^{2} + 12 x + 4 )}{2}

What is expand (2n+5)^3 ?
The solution to expand (2n+5)^3 is 8n^3+60n^2+150n+125