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Popular >

factor w^{100}+w^{50}

Solution

factor

w^{100} + w^{50}

Solution

w^{50} (w^{2} + 1) (w^{48} - w^{46} + w^{44} - w^{42} + w^{40} - w^{38} + w^{36} - w^{34} + w^{32} - w^{30} + w^{28} - w^{26} + w^{24} - w^{22} + w^{20} - w^{18} + w^{16} - w^{14} + w^{12} - w^{10} + w^{8} - w^{6} + w^{4} - w^{2} + 1)

Solution steps

w^{100} + w^{50}

Factor out common term

w^{50} : w^{50} (w^{50} + 1)

= w^{50} (w^{50} + 1)

Factor

w^{50} + 1 : (w^{2} + 1) (w^{48} - w^{46} + w^{44} - w^{42} + w^{40} - w^{38} + w^{36} - w^{34} + w^{32} - w^{30} + w^{28} - w^{26} + w^{24} - w^{22} + w^{20} - w^{18} + w^{16} - w^{14} + w^{12} - w^{10} + w^{8} - w^{6} + w^{4} - w^{2} + 1)

= w^{50} (w^{2} + 1) (w^{48} - w^{46} + w^{44} - w^{42} + w^{40} - w^{38} + w^{36} - w^{34} + w^{32} - w^{30} + w^{28} - w^{26} + w^{24} - w^{22} + w^{20} - w^{18} + w^{16} - w^{14} + w^{12} - w^{10} + w^{8} - w^{6} + w^{4} - w^{2} + 1)

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Frequently Asked Questions (FAQ)

What is factor w^{100}+w^{50} ?
The solution to factor w^{100}+w^{50} is