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Popular >

expand (1-x-y)^5

Solution

expand

(1 - x - y)^{5}

Solution

- x^{5} - 5 x^{4} y + 5 x^{4} - 10 x^{3} y^{2} + 20 x^{3} y - 10 x^{3} - 10 x^{2} y^{3} + 30 x^{2} y^{2} - 30 x^{2} y + 10 x^{2} - 5 x y^{4} + 20 x y^{3} - 30 x y^{2} + 20 x y - 5 x - y^{5} + 5 y^{4} - 10 y^{3} + 10 y^{2} - 5 y + 1

Solution steps

(1 - x - y)^{5}

(1 - x - y)^{5} = (1 - x - y) (1 - x - y) (1 - x - y) (1 - x - y) (1 - x - y)

= (1 - x - y) (1 - x - y) (1 - x - y) (1 - x - y) (1 - x - y)

Expand

(1 - x - y) (1 - x - y) (1 - x - y) (1 - x - y) (1 - x - y) : - x^{5} - 5 x^{4} y + 5 x^{4} - 10 x^{3} y^{2} + 20 x^{3} y - 10 x^{3} - 10 x^{2} y^{3} + 30 x^{2} y^{2} - 30 x^{2} y + 10 x^{2} - 5 x y^{4} + 20 x y^{3} - 30 x y^{2} + 20 x y - 5 x - y^{5} + 5 y^{4} - 10 y^{3} + 10 y^{2} - 5 y + 1

= - x^{5} - 5 x^{4} y + 5 x^{4} - 10 x^{3} y^{2} + 20 x^{3} y - 10 x^{3} - 10 x^{2} y^{3} + 30 x^{2} y^{2} - 30 x^{2} y + 10 x^{2} - 5 x y^{4} + 20 x y^{3} - 30 x y^{2} + 20 x y - 5 x - y^{5} + 5 y^{4} - 10 y^{3} + 10 y^{2} - 5 y + 1

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Frequently Asked Questions (FAQ)

What is expand (1-x-y)^5 ?
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