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Popular >

expand (x^2+x-1)^{10}

Solution

expand

(x^{2} + x - 1)^{10}

Solution

x^{20} + 10 x^{19} + 35 x^{18} + 30 x^{17} - 105 x^{16} - 228 x^{15} + 90 x^{14} + 540 x^{13} + 45 x^{12} - 770 x^{11} - 131 x^{10} + 770 x^{9} + 45 x^{8} - 540 x^{7} + 90 x^{6} + 228 x^{5} - 105 x^{4} - 30 x^{3} + 35 x^{2} - 10 x + 1

Solution steps

(x^{2} + x - 1)^{10}

(x^{2} + x - 1)^{10} = (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1)

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

Expand

(x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) (x^{2} + x - 1) : x^{20} + 10 x^{19} + 35 x^{18} + 30 x^{17} - 105 x^{16} - 228 x^{15} + 90 x^{14} + 540 x^{13} + 45 x^{12} - 770 x^{11} - 131 x^{10} + 770 x^{9} + 45 x^{8} - 540 x^{7} + 90 x^{6} + 228 x^{5} - 105 x^{4} - 30 x^{3} + 35 x^{2} - 10 x + 1

= x^{20} + 10 x^{19} + 35 x^{18} + 30 x^{17} - 105 x^{16} - 228 x^{15} + 90 x^{14} + 540 x^{13} + 45 x^{12} - 770 x^{11} - 131 x^{10} + 770 x^{9} + 45 x^{8} - 540 x^{7} + 90 x^{6} + 228 x^{5} - 105 x^{4} - 30 x^{3} + 35 x^{2} - 10 x + 1

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Frequently Asked Questions (FAQ)

What is expand (x^2+x-1)^{10} ?
The solution to expand (x^2+x-1)^{10} is