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Popular >

expand (4n+3)^3

Solution

expand

(4 n + 3)^{3}

Solution

64 n^{3} + 144 n^{2} + 108 n + 27

Solution steps

(4 n + 3)^{3}

Apply Perfect Cube Formula:

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

(4 n + 3)^{3} = (4 n)^{3} + 3 (4 n)^{2} \cdot 3 + 3 \cdot 4 n \cdot 3^{2} + 3^{3}

= (4 n)^{3} + 3 (4 n)^{2} \cdot 3 + 3 \cdot 4 n \cdot 3^{2} + 3^{3}

Simplify

(4 n)^{3} + 3 (4 n)^{2} \cdot 3 + 3 \cdot 4 n \cdot 3^{2} + 3^{3} : 64 n^{3} + 144 n^{2} + 108 n + 27

= 64 n^{3} + 144 n^{2} + 108 n + 27

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Frequently Asked Questions (FAQ)

What is expand (4n+3)^3 ?
The solution to expand (4n+3)^3 is 64n^3+144n^2+108n+27