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Popular >

expand (9x-2x^2-8x^3)^6

Solution

expand

(9 x - 2 x^{2} - 8 x^{3})^{6}

Solution

262144 x^{18} + 393216 x^{17} - 1523712 x^{16} - 2129920 x^{15} + 3886080 x^{14} + 4701696 x^{13} - 5633216 x^{12} - 5289408 x^{11} + 4918320 x^{10} + 3032640 x^{9} - 2440692 x^{8} - 708588 x^{7} + 531441 x^{6}

Solution steps

(9 x - 2 x^{2} - 8 x^{3})^{6}

(9 x - 2 x^{2} - 8 x^{3})^{6} = (9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3})

= (- 8 x^{3} - 2 x^{2} + 9 x) (- 8 x^{3} - 2 x^{2} + 9 x) (- 8 x^{3} - 2 x^{2} + 9 x) (- 8 x^{3} - 2 x^{2} + 9 x) (- 8 x^{3} - 2 x^{2} + 9 x) (- 8 x^{3} - 2 x^{2} + 9 x)

Expand

(9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3}) (9 x - 2 x^{2} - 8 x^{3}) : 262144 x^{18} + 393216 x^{17} - 1523712 x^{16} - 2129920 x^{15} + 3886080 x^{14} + 4701696 x^{13} - 5633216 x^{12} - 5289408 x^{11} + 4918320 x^{10} + 3032640 x^{9} - 2440692 x^{8} - 708588 x^{7} + 531441 x^{6}

= 262144 x^{18} + 393216 x^{17} - 1523712 x^{16} - 2129920 x^{15} + 3886080 x^{14} + 4701696 x^{13} - 5633216 x^{12} - 5289408 x^{11} + 4918320 x^{10} + 3032640 x^{9} - 2440692 x^{8} - 708588 x^{7} + 531441 x^{6}

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Frequently Asked Questions (FAQ)

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