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Popular >

expand (x^2+xy+y^2)^6

Solution

expand

(x^{2} + x y + y^{2})^{6}

Solution

x^{12} + 6 x^{11} y + 21 x^{10} y^{2} + 50 x^{9} y^{3} + 90 x^{8} y^{4} + 126 x^{7} y^{5} + 141 x^{6} y^{6} + 126 x^{5} y^{7} + 90 x^{4} y^{8} + 50 x^{3} y^{9} + 21 x^{2} y^{10} + 6 x y^{11} + y^{12}

Solution steps

(x^{2} + x y + y^{2})^{6}

(x^{2} + x y + y^{2})^{6} = (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2})

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

Expand

(x^{2} + x y + y^{2}) (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2}) : x^{12} + 6 x^{11} y + 21 x^{10} y^{2} + 50 x^{9} y^{3} + 90 x^{8} y^{4} + 126 x^{7} y^{5} + 141 x^{6} y^{6} + 126 x^{5} y^{7} + 90 x^{4} y^{8} + 50 x^{3} y^{9} + 21 x^{2} y^{10} + 6 x y^{11} + y^{12}

= x^{12} + 6 x^{11} y + 21 x^{10} y^{2} + 50 x^{9} y^{3} + 90 x^{8} y^{4} + 126 x^{7} y^{5} + 141 x^{6} y^{6} + 126 x^{5} y^{7} + 90 x^{4} y^{8} + 50 x^{3} y^{9} + 21 x^{2} y^{10} + 6 x y^{11} + y^{12}

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Frequently Asked Questions (FAQ)

What is expand (x^2+xy+y^2)^6 ?
The solution to expand (x^2+xy+y^2)^6 is