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Popular >

expand (y-1)^3

Solution

expand

(y - 1)^{3}

Solution

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

Solution steps

(y - 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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