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Popular >

expand (y-2)^3

Solution

expand

(y - 2)^{3}

Solution

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

Solution steps

(y - 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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