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Popular >

expand (5x^4-6x^3+x)^5

Solution

expand

(5 x^{4} - 6 x^{3} + x)^{5}

Solution

3125 x^{20} - 18750 x^{19} + 45000 x^{18} - 50875 x^{17} + 17400 x^{16} + 19224 x^{15} - 20350 x^{14} + 1980 x^{13} + 5400 x^{12} - 1910 x^{11} - 600 x^{10} + 360 x^{9} + 25 x^{8} - 30 x^{7} + x^{5}

Solution steps

(5 x^{4} - 6 x^{3} + x)^{5}

(5 x^{4} - 6 x^{3} + x)^{5} = (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x)

= (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x)

Expand

(5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) (5 x^{4} - 6 x^{3} + x) : 3125 x^{20} - 18750 x^{19} + 45000 x^{18} - 50875 x^{17} + 17400 x^{16} + 19224 x^{15} - 20350 x^{14} + 1980 x^{13} + 5400 x^{12} - 1910 x^{11} - 600 x^{10} + 360 x^{9} + 25 x^{8} - 30 x^{7} + x^{5}

= 3125 x^{20} - 18750 x^{19} + 45000 x^{18} - 50875 x^{17} + 17400 x^{16} + 19224 x^{15} - 20350 x^{14} + 1980 x^{13} + 5400 x^{12} - 1910 x^{11} - 600 x^{10} + 360 x^{9} + 25 x^{8} - 30 x^{7} + x^{5}

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Frequently Asked Questions (FAQ)

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