Identify Terms: Step Title: Identify the TermsConcise Step Description: Identify the terms of the expression that can be grouped together.Step Calculation: The expression has four terms: st, −2s, 10t, −20.Step Output: Terms: st, −2s, 10t, −20
Group Terms: Step Title: Group the TermsConcise Step Description: Group the terms in pairs to factor by grouping.Step Calculation: Group (st−2s) and (10t−20) together.Step Output: Grouped Terms: (st−2s)+(10t−20)
Factor Common Factors: Step Title: Factor Out the Common FactorsConcise Step Description: Factor out the greatest common factor from each group.Step Calculation: From (st−2s), factor out ′s′. From (10t−20), factor out ′10′.Step Output: Factored Groups: s(t−2)+10(t−2)
Factor Common Binomial: Step Title: Factor Out the Common BinomialConcise Step Description: Factor out the common binomial factor from the factored groups.Step Calculation: The common binomial factor is (t−2).Step Output: Factored Expression: (t−2)(s+10)