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Popular >

expand (w-1)^3

Solution

expand

(w - 1)^{3}

Solution

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

Solution steps

(w - 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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