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Popular >

expand (2x^3-4x+5)^6

Solution

expand

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

Solution

64 x^{18} - 768 x^{16} + 960 x^{15} + 3840 x^{14} - 9600 x^{13} - 4240 x^{12} + 38400 x^{11} - 32640 x^{10} - 56800 x^{9} + 131712 x^{8} - 43200 x^{7} - 150404 x^{6} + 209280 x^{5} - 54000 x^{4} - 122500 x^{3} + 150000 x^{2} - 75000 x + 15625

Solution steps

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

(2 x^{3} - 4 x + 5)^{6} = (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5)

= (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5)

Expand

(2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) (2 x^{3} - 4 x + 5) : 64 x^{18} - 768 x^{16} + 960 x^{15} + 3840 x^{14} - 9600 x^{13} - 4240 x^{12} + 38400 x^{11} - 32640 x^{10} - 56800 x^{9} + 131712 x^{8} - 43200 x^{7} - 150404 x^{6} + 209280 x^{5} - 54000 x^{4} - 122500 x^{3} + 150000 x^{2} - 75000 x + 15625

= 64 x^{18} - 768 x^{16} + 960 x^{15} + 3840 x^{14} - 9600 x^{13} - 4240 x^{12} + 38400 x^{11} - 32640 x^{10} - 56800 x^{9} + 131712 x^{8} - 43200 x^{7} - 150404 x^{6} + 209280 x^{5} - 54000 x^{4} - 122500 x^{3} + 150000 x^{2} - 75000 x + 15625

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Frequently Asked Questions (FAQ)

What is expand (2x^3-4x+5)^6 ?
The solution to expand (2x^3-4x+5)^6 is