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Popular >

factor a^{17}+b^{17}

Solution

factor

a^{17} + b^{17}

Solution

(a + b) (a^{16} - a^{15} b + a^{14} b^{2} - a^{13} b^{3} + a^{12} b^{4} - a^{11} b^{5} + a^{10} b^{6} - a^{9} b^{7} + a^{8} b^{8} - a^{7} b^{9} + a^{6} b^{10} - a^{5} b^{11} + a^{4} b^{12} - a^{3} b^{13} + a^{2} b^{14} - a b^{15} + b^{16})

Solution steps

a^{17} + b^{17}

Apply factoring rule:

x^{n} + y^{n} = (x + y) (x^{n - 1} - x^{n - 2} y + \dots - x y^{n - 2} + y^{n - 1}), n i s o dd

a^{17} + b^{17} = (a + b) (a^{16} - a^{15} b + a^{14} b^{2} - a^{13} b^{3} + a^{12} b^{4} - a^{11} b^{5} + a^{10} b^{6} - a^{9} b^{7} + a^{8} b^{8} - a^{7} b^{9} + a^{6} b^{10} - a^{5} b^{11} + a^{4} b^{12} - a^{3} b^{13} + a^{2} b^{14} - a b^{15} + b^{16})

= (a + b) (a^{16} - a^{15} b + a^{14} b^{2} - a^{13} b^{3} + a^{12} b^{4} - a^{11} b^{5} + a^{10} b^{6} - a^{9} b^{7} + a^{8} b^{8} - a^{7} b^{9} + a^{6} b^{10} - a^{5} b^{11} + a^{4} b^{12} - a^{3} b^{13} + a^{2} b^{14} - a b^{15} + b^{16})

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Frequently Asked Questions (FAQ)

What is factor a^{17}+b^{17} ?
The solution to factor a^{17}+b^{17} is