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Popular >

expand (b^2-2b)^3

Solution

expand

(b^{2} - 2 b)^{3}

Solution

b^{6} - 6 b^{5} + 12 b^{4} - 8 b^{3}

Solution steps

(b^{2} - 2 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(b^{2})^{3} - 3 (b^{2})^{2} \cdot 2 b + 3 b^{2} (2 b)^{2} - (2 b)^{3} : b^{6} - 6 b^{5} + 12 b^{4} - 8 b^{3}

= b^{6} - 6 b^{5} + 12 b^{4} - 8 b^{3}

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Frequently Asked Questions (FAQ)

What is expand (b^2-2b)^3 ?
The solution to expand (b^2-2b)^3 is b^6-6b^5+12b^4-8b^3