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Popular >

expand (p+6)^3

Solution

expand

(p + 6)^{3}

Solution

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

Solution steps

(p + 6)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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