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Popular >

expand (a+3b)^3

Solution

expand

(a + 3 b)^{3}

Solution

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

Solution steps

(a + 3 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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