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Popular >

expand (b+3)^3

Solution

expand

(b + 3)^{3}

Solution

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

Solution steps

(b + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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