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Popular >

expand (3x^3-4x-2)^6

Solution

expand

(3 x^{3} - 4 x - 2)^{6}

Solution

729 x^{18} - 5832 x^{16} - 2916 x^{15} + 19440 x^{14} + 19440 x^{13} - 29700 x^{12} - 51840 x^{11} + 8640 x^{10} + 64800 x^{9} + 33408 x^{8} - 28800 x^{7} - 39824 x^{6} - 10752 x^{5} + 9600 x^{4} + 9664 x^{3} + 3840 x^{2} + 768 x + 64

Solution steps

(3 x^{3} - 4 x - 2)^{6}

(3 x^{3} - 4 x - 2)^{6} = (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2)

= (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2)

Expand

(3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) (3 x^{3} - 4 x - 2) : 729 x^{18} - 5832 x^{16} - 2916 x^{15} + 19440 x^{14} + 19440 x^{13} - 29700 x^{12} - 51840 x^{11} + 8640 x^{10} + 64800 x^{9} + 33408 x^{8} - 28800 x^{7} - 39824 x^{6} - 10752 x^{5} + 9600 x^{4} + 9664 x^{3} + 3840 x^{2} + 768 x + 64

= 729 x^{18} - 5832 x^{16} - 2916 x^{15} + 19440 x^{14} + 19440 x^{13} - 29700 x^{12} - 51840 x^{11} + 8640 x^{10} + 64800 x^{9} + 33408 x^{8} - 28800 x^{7} - 39824 x^{6} - 10752 x^{5} + 9600 x^{4} + 9664 x^{3} + 3840 x^{2} + 768 x + 64

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Frequently Asked Questions (FAQ)

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