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Popular >

expand (2b+3)^3

Solution

expand

(2 b + 3)^{3}

Solution

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

Solution steps

(2 b + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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