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Popular >

expand (8-4b)^3

Solution

expand

(8 - 4 b)^{3}

Solution

512 - 768 b + 384 b^{2} - 64 b^{3}

Solution steps

(8 - 4 b)^{3}

Apply Perfect Cube Formula:

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

(8 - 4 b)^{3} = 8^{3} - 3 \cdot 8^{2} \cdot 4 b + 3 \cdot 8 (4 b)^{2} - (4 b)^{3}

= 8^{3} - 3 \cdot 8^{2} \cdot 4 b + 3 \cdot 8 (4 b)^{2} - (4 b)^{3}

Simplify

8^{3} - 3 \cdot 8^{2} \cdot 4 b + 3 \cdot 8 (4 b)^{2} - (4 b)^{3} : 512 - 768 b + 384 b^{2} - 64 b^{3}

= 512 - 768 b + 384 b^{2} - 64 b^{3}

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Frequently Asked Questions (FAQ)

What is expand (8-4b)^3 ?
The solution to expand (8-4b)^3 is 512-768b+384b^2-64b^3