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Popular >

expand (2y-y^2)^3

Solution

expand

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

Solution

8 y^{3} - 12 y^{4} + 6 y^{5} - y^{6}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 y)^{3} - 3 (2 y)^{2} y^{2} + 3 \cdot 2 y (y^{2})^{2} - (y^{2})^{3} : 8 y^{3} - 12 y^{4} + 6 y^{5} - y^{6}

= 8 y^{3} - 12 y^{4} + 6 y^{5} - y^{6}

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Frequently Asked Questions (FAQ)

What is expand (2y-y^2)^3 ?
The solution to expand (2y-y^2)^3 is 8y^3-12y^4+6y^5-y^6