en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor m^{100}-m^{50}

Solution

factor

m^{100} - m^{50}

Solution

m^{50} (m + 1) (m^{24} - m^{23} + m^{22} - m^{21} + m^{20} - m^{19} + m^{18} - m^{17} + m^{16} - m^{15} + m^{14} - m^{13} + m^{12} - m^{11} + m^{10} - m^{9} + m^{8} - m^{7} + m^{6} - m^{5} + m^{4} - m^{3} + m^{2} - m + 1) (m - 1) (m^{24} + m^{23} + m^{22} + m^{21} + m^{20} + m^{19} + m^{18} + m^{17} + m^{16} + m^{15} + m^{14} + m^{13} + m^{12} + m^{11} + m^{10} + m^{9} + m^{8} + m^{7} + m^{6} + m^{5} + m^{4} + m^{3} + m^{2} + m + 1)

Solution steps

m^{100} - m^{50}

Factor out common term

m^{50} : m^{50} (m^{50} - 1)

= m^{50} (m^{50} - 1)

Factor

m^{50} - 1 : (m + 1) (m^{24} - m^{23} + m^{22} - m^{21} + m^{20} - m^{19} + m^{18} - m^{17} + m^{16} - m^{15} + m^{14} - m^{13} + m^{12} - m^{11} + m^{10} - m^{9} + m^{8} - m^{7} + m^{6} - m^{5} + m^{4} - m^{3} + m^{2} - m + 1) (m - 1) (m^{24} + m^{23} + m^{22} + m^{21} + m^{20} + m^{19} + m^{18} + m^{17} + m^{16} + m^{15} + m^{14} + m^{13} + m^{12} + m^{11} + m^{10} + m^{9} + m^{8} + m^{7} + m^{6} + m^{5} + m^{4} + m^{3} + m^{2} + m + 1)

= m^{50} (m + 1) (m^{24} - m^{23} + m^{22} - m^{21} + m^{20} - m^{19} + m^{18} - m^{17} + m^{16} - m^{15} + m^{14} - m^{13} + m^{12} - m^{11} + m^{10} - m^{9} + m^{8} - m^{7} + m^{6} - m^{5} + m^{4} - m^{3} + m^{2} - m + 1) (m - 1) (m^{24} + m^{23} + m^{22} + m^{21} + m^{20} + m^{19} + m^{18} + m^{17} + m^{16} + m^{15} + m^{14} + m^{13} + m^{12} + m^{11} + m^{10} + m^{9} + m^{8} + m^{7} + m^{6} + m^{5} + m^{4} + m^{3} + m^{2} + m + 1)

Popular Examples

simplify (a^n-a^n-1+a^n-2)(-2a)simplify

(a^{n} - a^{n} - 1 + a^{n} - 2) (- 2 a)

simplify 7m+5m+m simplify

7 m + 5 m + m

expand log_{10}(7)(3x-2)expand

lo g_{10} (7) (3 x - 2)

simplify f^6(x)simplify

f^{6} (x)

simplify (1/(3x^2y^{-3)})^{-2}simplify

(\frac{1}{3 x ^{2} y ^{- 3}})^{- 2}

Frequently Asked Questions (FAQ)

What is factor m^{100}-m^{50} ?
The solution to factor m^{100}-m^{50} is