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Popular >

expand (x^3-2x+3)^7

Solution

expand

(x^{3} - 2 x + 3)^{7}

Solution

x^{21} - 14 x^{19} + 21 x^{18} + 84 x^{17} - 252 x^{16} - 91 x^{15} + 1260 x^{14} - 1330 x^{13} - 2415 x^{12} + 6888 x^{11} - 2520 x^{10} - 11837 x^{9} + 18648 x^{8} - 2018 x^{7} - 23793 x^{6} + 27972 x^{5} - 5292 x^{4} - 17577 x^{3} + 20412 x^{2} - 10206 x + 2187

Solution steps

(x^{3} - 2 x + 3)^{7}

(x^{3} - 2 x + 3)^{7} = (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3)

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

Expand

(x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) (x^{3} - 2 x + 3) : x^{21} - 14 x^{19} + 21 x^{18} + 84 x^{17} - 252 x^{16} - 91 x^{15} + 1260 x^{14} - 1330 x^{13} - 2415 x^{12} + 6888 x^{11} - 2520 x^{10} - 11837 x^{9} + 18648 x^{8} - 2018 x^{7} - 23793 x^{6} + 27972 x^{5} - 5292 x^{4} - 17577 x^{3} + 20412 x^{2} - 10206 x + 2187

= x^{21} - 14 x^{19} + 21 x^{18} + 84 x^{17} - 252 x^{16} - 91 x^{15} + 1260 x^{14} - 1330 x^{13} - 2415 x^{12} + 6888 x^{11} - 2520 x^{10} - 11837 x^{9} + 18648 x^{8} - 2018 x^{7} - 23793 x^{6} + 27972 x^{5} - 5292 x^{4} - 17577 x^{3} + 20412 x^{2} - 10206 x + 2187

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Frequently Asked Questions (FAQ)

What is expand (x^3-2x+3)^7 ?
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