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Popular >

expand (x^3-x+30)^6

Solution

expand

(x^{3} - x + 30)^{6}

Solution

x^{18} - 6 x^{16} + 180 x^{15} + 15 x^{14} - 900 x^{13} + 13480 x^{12} + 1800 x^{11} - 53985 x^{10} + 538200 x^{9} + 80994 x^{8} - 1619100 x^{7} + 12096001 x^{6} + 1619820 x^{5} - 24286500 x^{4} + 145260000 x^{3} + 12150000 x^{2} - 145800000 x + 729000000

Solution steps

(x^{3} - x + 30)^{6}

(x^{3} - x + 30)^{6} = (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30)

= (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30)

Expand

(x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) (x^{3} - x + 30) : x^{18} - 6 x^{16} + 180 x^{15} + 15 x^{14} - 900 x^{13} + 13480 x^{12} + 1800 x^{11} - 53985 x^{10} + 538200 x^{9} + 80994 x^{8} - 1619100 x^{7} + 12096001 x^{6} + 1619820 x^{5} - 24286500 x^{4} + 145260000 x^{3} + 12150000 x^{2} - 145800000 x + 729000000

= x^{18} - 6 x^{16} + 180 x^{15} + 15 x^{14} - 900 x^{13} + 13480 x^{12} + 1800 x^{11} - 53985 x^{10} + 538200 x^{9} + 80994 x^{8} - 1619100 x^{7} + 12096001 x^{6} + 1619820 x^{5} - 24286500 x^{4} + 145260000 x^{3} + 12150000 x^{2} - 145800000 x + 729000000

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Frequently Asked Questions (FAQ)

What is expand (x^3-x+30)^6 ?
The solution to expand (x^3-x+30)^6 is