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Popular >

expand (b-2)^3

Solution

expand

(b - 2)^{3}

Solution

b^{3} - 6 b^{2} + 12 b - 8

Solution steps

(b - 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

b^{3} - 3 b^{2} \cdot 2 + 3 b \cdot 2^{2} - 2^{3} : b^{3} - 6 b^{2} + 12 b - 8

= b^{3} - 6 b^{2} + 12 b - 8

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Frequently Asked Questions (FAQ)

What is expand (b-2)^3 ?
The solution to expand (b-2)^3 is b^3-6b^2+12b-8