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Popular >

expand (a+6)^3

Solution

expand

(a + 6)^{3}

Solution

a^{3} + 18 a^{2} + 108 a + 216

Solution steps

(a + 6)^{3}

Apply Perfect Cube Formula:

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

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

= a^{3} + 3 a^{2} \cdot 6 + 3 a \cdot 6^{2} + 6^{3}

Simplify

a^{3} + 3 a^{2} \cdot 6 + 3 a \cdot 6^{2} + 6^{3} : a^{3} + 18 a^{2} + 108 a + 216

= a^{3} + 18 a^{2} + 108 a + 216

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Frequently Asked Questions (FAQ)

What is expand (a+6)^3 ?
The solution to expand (a+6)^3 is a^3+18a^2+108a+216