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Popular >

expand (3+p)^3

Solution

expand

(3 + p)^{3}

Solution

27 + 27 p + 9 p^{2} + p^{3}

Solution steps

(3 + p)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

3^{3} + 3 \cdot 3^{2} p + 3 \cdot 3 p^{2} + p^{3} : 27 + 27 p + 9 p^{2} + p^{3}

= 27 + 27 p + 9 p^{2} + p^{3}

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Frequently Asked Questions (FAQ)

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