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Popular >

expand (1-3x+x^2)^8

Solution

expand

(1 - 3 x + x^{2})^{8}

Solution

x^{16} - 24 x^{15} + 260 x^{14} - 1680 x^{13} + 7210 x^{12} - 21672 x^{11} + 46928 x^{10} - 74280 x^{9} + 86515 x^{8} - 74280 x^{7} + 46928 x^{6} - 21672 x^{5} + 7210 x^{4} - 1680 x^{3} + 260 x^{2} - 24 x + 1

Solution steps

(1 - 3 x + x^{2})^{8}

(1 - 3 x + x^{2})^{8} = (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2})

= (x^{2} - 3 x + 1) (x^{2} - 3 x + 1) (x^{2} - 3 x + 1) (x^{2} - 3 x + 1) (x^{2} - 3 x + 1) (x^{2} - 3 x + 1) (x^{2} - 3 x + 1) (x^{2} - 3 x + 1)

Expand

(1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) (1 - 3 x + x^{2}) : x^{16} - 24 x^{15} + 260 x^{14} - 1680 x^{13} + 7210 x^{12} - 21672 x^{11} + 46928 x^{10} - 74280 x^{9} + 86515 x^{8} - 74280 x^{7} + 46928 x^{6} - 21672 x^{5} + 7210 x^{4} - 1680 x^{3} + 260 x^{2} - 24 x + 1

= x^{16} - 24 x^{15} + 260 x^{14} - 1680 x^{13} + 7210 x^{12} - 21672 x^{11} + 46928 x^{10} - 74280 x^{9} + 86515 x^{8} - 74280 x^{7} + 46928 x^{6} - 21672 x^{5} + 7210 x^{4} - 1680 x^{3} + 260 x^{2} - 24 x + 1

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Frequently Asked Questions (FAQ)

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