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Popular >

expand (3k+1)^3

Solution

expand

(3 k + 1)^{3}

Solution

27 k^{3} + 27 k^{2} + 9 k + 1

Solution steps

(3 k + 1)^{3}

Apply Perfect Cube Formula:

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

(3 k + 1)^{3} = (3 k)^{3} + 3 (3 k)^{2} \cdot 1 + 3 \cdot 3 k \cdot 1^{2} + 1^{3}

= (3 k)^{3} + 3 (3 k)^{2} \cdot 1 + 3 \cdot 3 k \cdot 1^{2} + 1^{3}

Simplify

(3 k)^{3} + 3 (3 k)^{2} \cdot 1 + 3 \cdot 3 k \cdot 1^{2} + 1^{3} : 27 k^{3} + 27 k^{2} + 9 k + 1

= 27 k^{3} + 27 k^{2} + 9 k + 1

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Frequently Asked Questions (FAQ)

What is expand (3k+1)^3 ?
The solution to expand (3k+1)^3 is 27k^3+27k^2+9k+1