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Popular >

expand (x^2-x+4)^8

Solution

expand

(x^{2} - x + 4)^{8}

Solution

x^{16} - 8 x^{15} + 60 x^{14} - 280 x^{13} + 1190 x^{12} - 3864 x^{11} + 11452 x^{10} - 27560 x^{9} + 60705 x^{8} - 110240 x^{7} + 183232 x^{6} - 247296 x^{5} + 304640 x^{4} - 286720 x^{3} + 245760 x^{2} - 131072 x + 65536

Solution steps

(x^{2} - x + 4)^{8}

(x^{2} - x + 4)^{8} = (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4)

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

Expand

(x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) (x^{2} - x + 4) : x^{16} - 8 x^{15} + 60 x^{14} - 280 x^{13} + 1190 x^{12} - 3864 x^{11} + 11452 x^{10} - 27560 x^{9} + 60705 x^{8} - 110240 x^{7} + 183232 x^{6} - 247296 x^{5} + 304640 x^{4} - 286720 x^{3} + 245760 x^{2} - 131072 x + 65536

= x^{16} - 8 x^{15} + 60 x^{14} - 280 x^{13} + 1190 x^{12} - 3864 x^{11} + 11452 x^{10} - 27560 x^{9} + 60705 x^{8} - 110240 x^{7} + 183232 x^{6} - 247296 x^{5} + 304640 x^{4} - 286720 x^{3} + 245760 x^{2} - 131072 x + 65536

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Frequently Asked Questions (FAQ)

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