Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor.\newlinem33m2+5m15m^3 - 3m^2 + 5m - 15

Full solution

Q. Factor.\newlinem33m2+5m15m^3 - 3m^2 + 5m - 15
  1. Group Terms: Step Title: Group Terms\newlineConcise Step Description: Group terms in the polynomial to find common factors.\newlineStep Calculation: Group (m33m2)(m^3 - 3m^2) and (5m15)(5m - 15).\newlineStep Output: (m33m2)+(5m15)(m^3 - 3m^2) + (5m - 15)
  2. Factor by Grouping: Step Title: Factor by Grouping\newlineConcise Step Description: Factor out the greatest common factor from each group.\newlineStep Calculation: Factor out m2m^2 from the first group and 55 from the second group.\newlineStep Output: m2(m3)+5(m3)m^2(m - 3) + 5(m - 3)
  3. Factor Out the Common Binomial: Step Title: Factor Out the Common Binomial\newlineConcise Step Description: Factor out the common binomial factor from the two groups.\newlineStep Calculation: Factor out (m3)(m - 3).\newlineStep Output: (m3)(m2+5)(m - 3)(m^2 + 5)