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Popular >

expand (b-1)^3

Solution

expand

(b - 1)^{3}

Solution

b^{3} - 3 b^{2} + 3 b - 1

Solution steps

(b - 1)^{3}

Apply Perfect Cube Formula:

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

(b - 1)^{3} = b^{3} - 3 b^{2} \cdot 1 + 3 b \cdot 1^{2} - 1^{3}

= b^{3} - 3 b^{2} \cdot 1 + 3 b \cdot 1^{2} - 1^{3}

Simplify

b^{3} - 3 b^{2} \cdot 1 + 3 b \cdot 1^{2} - 1^{3} : b^{3} - 3 b^{2} + 3 b - 1

= b^{3} - 3 b^{2} + 3 b - 1

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Frequently Asked Questions (FAQ)

What is expand (b-1)^3 ?
The solution to expand (b-1)^3 is b^3-3b^2+3b-1