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Popular >

factor 1-e^{49}

Solution

factor

1 - e^{49}

Solution

- (e - 1) (e^{48} + e^{47} + e^{46} + e^{45} + e^{44} + e^{43} + e^{42} + e^{41} + e^{40} + e^{39} + e^{38} + e^{37} + e^{36} + e^{35} + e^{34} + e^{33} + e^{32} + e^{31} + e^{30} + e^{29} + e^{28} + e^{27} + e^{26} + e^{25} + e^{24} + e^{23} + e^{22} + e^{21} + e^{20} + e^{19} + e^{18} + e^{17} + e^{16} + e^{15} + e^{14} + e^{13} + e^{12} + e^{11} + e^{10} + e^{9} + e^{8} + e^{7} + e^{6} + e^{5} + e^{4} + e^{3} + e^{2} + e + 1)

Solution steps

1 - e^{49}

Factor out common term

- 1

= - (e^{49} - 1)

Factor

e^{49} - 1 : (e - 1) (e^{48} + e^{47} + e^{46} + e^{45} + e^{44} + e^{43} + e^{42} + e^{41} + e^{40} + e^{39} + e^{38} + e^{37} + e^{36} + e^{35} + e^{34} + e^{33} + e^{32} + e^{31} + e^{30} + e^{29} + e^{28} + e^{27} + e^{26} + e^{25} + e^{24} + e^{23} + e^{22} + e^{21} + e^{20} + e^{19} + e^{18} + e^{17} + e^{16} + e^{15} + e^{14} + e^{13} + e^{12} + e^{11} + e^{10} + e^{9} + e^{8} + e^{7} + e^{6} + e^{5} + e^{4} + e^{3} + e^{2} + e + 1)

= - (e - 1) (e^{48} + e^{47} + e^{46} + e^{45} + e^{44} + e^{43} + e^{42} + e^{41} + e^{40} + e^{39} + e^{38} + e^{37} + e^{36} + e^{35} + e^{34} + e^{33} + e^{32} + e^{31} + e^{30} + e^{29} + e^{28} + e^{27} + e^{26} + e^{25} + e^{24} + e^{23} + e^{22} + e^{21} + e^{20} + e^{19} + e^{18} + e^{17} + e^{16} + e^{15} + e^{14} + e^{13} + e^{12} + e^{11} + e^{10} + e^{9} + e^{8} + e^{7} + e^{6} + e^{5} + e^{4} + e^{3} + e^{2} + e + 1)

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Frequently Asked Questions (FAQ)

What is factor 1-e^{49} ?
The solution to factor 1-e^{49} is