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Popular >

expand (5+2n)^3

Solution

expand

(5 + 2 n)^{3}

Solution

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

Solution steps

(5 + 2 n)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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