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Popular >

expand (8+b)^3

Solution

expand

(8 + b)^{3}

Solution

512 + 192 b + 24 b^{2} + b^{3}

Solution steps

(8 + b)^{3}

Apply Perfect Cube Formula:

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

(8 + b)^{3} = 8^{3} + 3 \cdot 8^{2} b + 3 \cdot 8 b^{2} + b^{3}

= 8^{3} + 3 \cdot 8^{2} b + 3 \cdot 8 b^{2} + b^{3}

Simplify

8^{3} + 3 \cdot 8^{2} b + 3 \cdot 8 b^{2} + b^{3} : 512 + 192 b + 24 b^{2} + b^{3}

= 512 + 192 b + 24 b^{2} + b^{3}

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Frequently Asked Questions (FAQ)

What is expand (8+b)^3 ?
The solution to expand (8+b)^3 is 512+192b+24b^2+b^3