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Popular >

expand (x+y+1)^5

Solution

expand

(x + y + 1)^{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

(x + y + 1)^{5}

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

Expand

(x + y + 1) (x + y + 1) (x + y + 1) (x + y + 1) (x + 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

= 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)

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