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Popular >

expand (2k+6)^3

Solution

expand

(2 k + 6)^{3}

Solution

8 k^{3} + 72 k^{2} + 216 k + 216

Solution steps

(2 k + 6)^{3}

Apply Perfect Cube Formula:

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

(2 k + 6)^{3} = (2 k)^{3} + 3 (2 k)^{2} \cdot 6 + 3 \cdot 2 k \cdot 6^{2} + 6^{3}

= (2 k)^{3} + 3 (2 k)^{2} \cdot 6 + 3 \cdot 2 k \cdot 6^{2} + 6^{3}

Simplify

(2 k)^{3} + 3 (2 k)^{2} \cdot 6 + 3 \cdot 2 k \cdot 6^{2} + 6^{3} : 8 k^{3} + 72 k^{2} + 216 k + 216

= 8 k^{3} + 72 k^{2} + 216 k + 216

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Frequently Asked Questions (FAQ)

What is expand (2k+6)^3 ?
The solution to expand (2k+6)^3 is 8k^3+72k^2+216k+216