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Popular >

expand (x^2-2x+9)^7

Solution

expand

(x^{2} - 2 x + 9)^{7}

Solution

x^{14} - 14 x^{13} + 147 x^{12} - 1036 x^{11} + 6041 x^{10} - 27762 x^{9} + 109123 x^{8} - 352424 x^{7} + 982107 x^{6} - 2248722 x^{5} + 4403889 x^{4} - 6797196 x^{3} + 8680203 x^{2} - 7440174 x + 4782969

Solution steps

(x^{2} - 2 x + 9)^{7}

(x^{2} - 2 x + 9)^{7} = (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9)

= (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9)

Expand

(x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) (x^{2} - 2 x + 9) : x^{14} - 14 x^{13} + 147 x^{12} - 1036 x^{11} + 6041 x^{10} - 27762 x^{9} + 109123 x^{8} - 352424 x^{7} + 982107 x^{6} - 2248722 x^{5} + 4403889 x^{4} - 6797196 x^{3} + 8680203 x^{2} - 7440174 x + 4782969

= x^{14} - 14 x^{13} + 147 x^{12} - 1036 x^{11} + 6041 x^{10} - 27762 x^{9} + 109123 x^{8} - 352424 x^{7} + 982107 x^{6} - 2248722 x^{5} + 4403889 x^{4} - 6797196 x^{3} + 8680203 x^{2} - 7440174 x + 4782969

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Frequently Asked Questions (FAQ)

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