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Popular >

expand (x^2+y^2-1)^5

Solution

expand

(x^{2} + y^{2} - 1)^{5}

Solution

x^{10} + 5 x^{8} y^{2} - 5 x^{8} + 10 x^{6} y^{4} - 20 x^{6} y^{2} + 10 x^{6} + 10 x^{4} y^{6} - 30 x^{4} y^{4} + 30 x^{4} y^{2} - 10 x^{4} + 5 x^{2} y^{8} - 20 x^{2} y^{6} + 30 x^{2} y^{4} - 20 x^{2} y^{2} + 5 x^{2} + y^{10} - 5 y^{8} + 10 y^{6} - 10 y^{4} + 5 y^{2} - 1

Solution steps

(x^{2} + y^{2} - 1)^{5}

(x^{2} + y^{2} - 1)^{5} = (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1)

= (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1)

Expand

(x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) (x^{2} + y^{2} - 1) : x^{10} + 5 x^{8} y^{2} - 5 x^{8} + 10 x^{6} y^{4} - 20 x^{6} y^{2} + 10 x^{6} + 10 x^{4} y^{6} - 30 x^{4} y^{4} + 30 x^{4} y^{2} - 10 x^{4} + 5 x^{2} y^{8} - 20 x^{2} y^{6} + 30 x^{2} y^{4} - 20 x^{2} y^{2} + 5 x^{2} + y^{10} - 5 y^{8} + 10 y^{6} - 10 y^{4} + 5 y^{2} - 1

= x^{10} + 5 x^{8} y^{2} - 5 x^{8} + 10 x^{6} y^{4} - 20 x^{6} y^{2} + 10 x^{6} + 10 x^{4} y^{6} - 30 x^{4} y^{4} + 30 x^{4} y^{2} - 10 x^{4} + 5 x^{2} y^{8} - 20 x^{2} y^{6} + 30 x^{2} y^{4} - 20 x^{2} y^{2} + 5 x^{2} + y^{10} - 5 y^{8} + 10 y^{6} - 10 y^{4} + 5 y^{2} - 1

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Frequently Asked Questions (FAQ)

What is expand (x^2+y^2-1)^5 ?
The solution to expand (x^2+y^2-1)^5 is