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Popular >

expand (x^3+x^2-x)^{10}+2

Solution

expand

(x^{3} + x^{2} - x)^{10} + 2

Solution

x^{30} + 10 x^{29} + 35 x^{28} + 30 x^{27} - 105 x^{26} - 228 x^{25} + 90 x^{24} + 540 x^{23} + 45 x^{22} - 770 x^{21} - 131 x^{20} + 770 x^{19} + 45 x^{18} - 540 x^{17} + 90 x^{16} + 228 x^{15} - 105 x^{14} - 30 x^{13} + 35 x^{12} - 10 x^{11} + x^{10} + 2

Solution steps

(x^{3} + x^{2} - x)^{10} + 2

(x^{3} + x^{2} - x)^{10} = (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x)

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

Expand

(x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) (x^{3} + x^{2} - x) : x^{30} + 10 x^{29} + 35 x^{28} + 30 x^{27} - 105 x^{26} - 228 x^{25} + 90 x^{24} + 540 x^{23} + 45 x^{22} - 770 x^{21} - 131 x^{20} + 770 x^{19} + 45 x^{18} - 540 x^{17} + 90 x^{16} + 228 x^{15} - 105 x^{14} - 30 x^{13} + 35 x^{12} - 10 x^{11} + x^{10}

= x^{30} + 10 x^{29} + 35 x^{28} + 30 x^{27} - 105 x^{26} - 228 x^{25} + 90 x^{24} + 540 x^{23} + 45 x^{22} - 770 x^{21} - 131 x^{20} + 770 x^{19} + 45 x^{18} - 540 x^{17} + 90 x^{16} + 228 x^{15} - 105 x^{14} - 30 x^{13} + 35 x^{12} - 10 x^{11} + x^{10} + 2

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Frequently Asked Questions (FAQ)

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