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Popular >

expand (3q+b)^3

Solution

expand

(3 q + b)^{3}

Solution

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

Solution steps

(3 q + b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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