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Popular >

expand (z^2-2z+1)^8

Solution

expand

(z^{2} - 2 z + 1)^{8}

Solution

z^{16} - 16 z^{15} + 120 z^{14} - 560 z^{13} + 1820 z^{12} - 4368 z^{11} + 8008 z^{10} - 11440 z^{9} + 12870 z^{8} - 11440 z^{7} + 8008 z^{6} - 4368 z^{5} + 1820 z^{4} - 560 z^{3} + 120 z^{2} - 16 z + 1

Solution steps

(z^{2} - 2 z + 1)^{8}

(z^{2} - 2 z + 1)^{8} = (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1)

= (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1)

Expand

(z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) (z^{2} - 2 z + 1) : z^{16} - 16 z^{15} + 120 z^{14} - 560 z^{13} + 1820 z^{12} - 4368 z^{11} + 8008 z^{10} - 11440 z^{9} + 12870 z^{8} - 11440 z^{7} + 8008 z^{6} - 4368 z^{5} + 1820 z^{4} - 560 z^{3} + 120 z^{2} - 16 z + 1

= z^{16} - 16 z^{15} + 120 z^{14} - 560 z^{13} + 1820 z^{12} - 4368 z^{11} + 8008 z^{10} - 11440 z^{9} + 12870 z^{8} - 11440 z^{7} + 8008 z^{6} - 4368 z^{5} + 1820 z^{4} - 560 z^{3} + 120 z^{2} - 16 z + 1

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Frequently Asked Questions (FAQ)

What is expand (z^2-2z+1)^8 ?
The solution to expand (z^2-2z+1)^8 is