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Popular >

expand (y^2-y)^3

Solution

expand

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

Solution

y^{6} - 3 y^{5} + 3 y^{4} - y^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(y^{2})^{3} - 3 (y^{2})^{2} y + 3 y^{2} y^{2} - y^{3} : y^{6} - 3 y^{5} + 3 y^{4} - y^{3}

= y^{6} - 3 y^{5} + 3 y^{4} - y^{3}

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Frequently Asked Questions (FAQ)

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