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Popular >

expand (1+3z+z^3)^6

Solution

expand

(1 + 3 z + z^{3})^{6}

Solution

z^{18} + 18 z^{16} + 6 z^{15} + 135 z^{14} + 90 z^{13} + 555 z^{12} + 540 z^{11} + 1395 z^{10} + 1640 z^{9} + 2268 z^{8} + 2610 z^{7} + 2364 z^{6} + 1998 z^{5} + 1305 z^{4} + 546 z^{3} + 135 z^{2} + 18 z + 1

Solution steps

(1 + 3 z + z^{3})^{6}

(1 + 3 z + z^{3})^{6} = (1 + 3 z + z^{3}) (1 + 3 z + z^{3}) (1 + 3 z + z^{3}) (1 + 3 z + z^{3}) (1 + 3 z + z^{3}) (1 + 3 z + z^{3})

= (z^{3} + 3 z + 1) (z^{3} + 3 z + 1) (z^{3} + 3 z + 1) (z^{3} + 3 z + 1) (z^{3} + 3 z + 1) (z^{3} + 3 z + 1)

Expand

(1 + 3 z + z^{3}) (1 + 3 z + z^{3}) (1 + 3 z + z^{3}) (1 + 3 z + z^{3}) (1 + 3 z + z^{3}) (1 + 3 z + z^{3}) : z^{18} + 18 z^{16} + 6 z^{15} + 135 z^{14} + 90 z^{13} + 555 z^{12} + 540 z^{11} + 1395 z^{10} + 1640 z^{9} + 2268 z^{8} + 2610 z^{7} + 2364 z^{6} + 1998 z^{5} + 1305 z^{4} + 546 z^{3} + 135 z^{2} + 18 z + 1

= z^{18} + 18 z^{16} + 6 z^{15} + 135 z^{14} + 90 z^{13} + 555 z^{12} + 540 z^{11} + 1395 z^{10} + 1640 z^{9} + 2268 z^{8} + 2610 z^{7} + 2364 z^{6} + 1998 z^{5} + 1305 z^{4} + 546 z^{3} + 135 z^{2} + 18 z + 1

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Frequently Asked Questions (FAQ)

What is expand (1+3z+z^3)^6 ?
The solution to expand (1+3z+z^3)^6 is