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Popular >

expand (4-7x+3x^2)^8

Solution

expand

(4 - 7 x + 3 x^{2})^{8}

Solution

6561 x^{16} - 122472 x^{15} + 1070172 x^{14} - 5810616 x^{13} + 21941766 x^{12} - 61101432 x^{11} + 129796380 x^{10} - 214552968 x^{9} + 278905249 x^{8} - 286070624 x^{7} + 230749120 x^{6} - 144833024 x^{5} + 69346816 x^{4} - 24485888 x^{3} + 6012928 x^{2} - 917504 x + 65536

Solution steps

(4 - 7 x + 3 x^{2})^{8}

(4 - 7 x + 3 x^{2})^{8} = (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2})

= (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4) (3 x^{2} - 7 x + 4)

Expand

(4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) (4 - 7 x + 3 x^{2}) : 6561 x^{16} - 122472 x^{15} + 1070172 x^{14} - 5810616 x^{13} + 21941766 x^{12} - 61101432 x^{11} + 129796380 x^{10} - 214552968 x^{9} + 278905249 x^{8} - 286070624 x^{7} + 230749120 x^{6} - 144833024 x^{5} + 69346816 x^{4} - 24485888 x^{3} + 6012928 x^{2} - 917504 x + 65536

= 6561 x^{16} - 122472 x^{15} + 1070172 x^{14} - 5810616 x^{13} + 21941766 x^{12} - 61101432 x^{11} + 129796380 x^{10} - 214552968 x^{9} + 278905249 x^{8} - 286070624 x^{7} + 230749120 x^{6} - 144833024 x^{5} + 69346816 x^{4} - 24485888 x^{3} + 6012928 x^{2} - 917504 x + 65536

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Frequently Asked Questions (FAQ)

What is expand (4-7x+3x^2)^8 ?
The solution to expand (4-7x+3x^2)^8 is