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Popular >

expand (5x^5-3x^3-9)^5

Solution

expand

(5 x^{5} - 3 x^{3} - 9)^{5}

Solution

3125 x^{25} - 9375 x^{23} + 11250 x^{21} - 28125 x^{20} - 6750 x^{19} + 67500 x^{18} + 2025 x^{17} - 60750 x^{16} + 101007 x^{15} + 24300 x^{14} - 182250 x^{13} - 3645 x^{12} + 109350 x^{11} - 182250 x^{10} - 21870 x^{9} + 218700 x^{8} - 65610 x^{6} + 164025 x^{5} - 98415 x^{3} - 59049

Solution steps

(5 x^{5} - 3 x^{3} - 9)^{5}

(5 x^{5} - 3 x^{3} - 9)^{5} = (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9)

= (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9)

Expand

(5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) (5 x^{5} - 3 x^{3} - 9) : 3125 x^{25} - 9375 x^{23} + 11250 x^{21} - 28125 x^{20} - 6750 x^{19} + 67500 x^{18} + 2025 x^{17} - 60750 x^{16} + 101007 x^{15} + 24300 x^{14} - 182250 x^{13} - 3645 x^{12} + 109350 x^{11} - 182250 x^{10} - 21870 x^{9} + 218700 x^{8} - 65610 x^{6} + 164025 x^{5} - 98415 x^{3} - 59049

= 3125 x^{25} - 9375 x^{23} + 11250 x^{21} - 28125 x^{20} - 6750 x^{19} + 67500 x^{18} + 2025 x^{17} - 60750 x^{16} + 101007 x^{15} + 24300 x^{14} - 182250 x^{13} - 3645 x^{12} + 109350 x^{11} - 182250 x^{10} - 21870 x^{9} + 218700 x^{8} - 65610 x^{6} + 164025 x^{5} - 98415 x^{3} - 59049

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Frequently Asked Questions (FAQ)

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