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Popular >

expand (x^3-x+30)^7

Solution

expand

(x^{3} - x + 30)^{7}

Solution

x^{21} - 7 x^{19} + 210 x^{18} + 21 x^{17} - 1260 x^{16} + 18865 x^{15} + 3150 x^{14} - 94465 x^{13} + 940800 x^{12} + 188979 x^{11} - 3776850 x^{10} + 28161007 x^{9} + 5668740 x^{8} - 84955501 x^{7} + 506520210 x^{6} + 85031100 x^{5} - 1019655000 x^{4} + 5074650000 x^{3} + 510300000 x^{2} - 5103000000 x + 21870000000

Solution steps

(x^{3} - x + 30)^{7}

(x^{3} - x + 30)^{7} = (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30)

= (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30)

Expand

(x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) : x^{21} - 7 x^{19} + 210 x^{18} + 21 x^{17} - 1260 x^{16} + 18865 x^{15} + 3150 x^{14} - 94465 x^{13} + 940800 x^{12} + 188979 x^{11} - 3776850 x^{10} + 28161007 x^{9} + 5668740 x^{8} - 84955501 x^{7} + 506520210 x^{6} + 85031100 x^{5} - 1019655000 x^{4} + 5074650000 x^{3} + 510300000 x^{2} - 5103000000 x + 21870000000

= x^{21} - 7 x^{19} + 210 x^{18} + 21 x^{17} - 1260 x^{16} + 18865 x^{15} + 3150 x^{14} - 94465 x^{13} + 940800 x^{12} + 188979 x^{11} - 3776850 x^{10} + 28161007 x^{9} + 5668740 x^{8} - 84955501 x^{7} + 506520210 x^{6} + 85031100 x^{5} - 1019655000 x^{4} + 5074650000 x^{3} + 510300000 x^{2} - 5103000000 x + 21870000000

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Frequently Asked Questions (FAQ)

What is expand (x^3-x+30)^7 ?
The solution to expand (x^3-x+30)^7 is