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Popular >

expand (3q+2)^3

Solution

expand

(3 q + 2)^{3}

Solution

27 q^{3} + 54 q^{2} + 36 q + 8

Solution steps

(3 q + 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 q)^{3} + 3 (3 q)^{2} \cdot 2 + 3 \cdot 3 q \cdot 2^{2} + 2^{3} : 27 q^{3} + 54 q^{2} + 36 q + 8

= 27 q^{3} + 54 q^{2} + 36 q + 8

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Frequently Asked Questions (FAQ)

What is expand (3q+2)^3 ?
The solution to expand (3q+2)^3 is 27q^3+54q^2+36q+8