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Factor.\newlinest2s+10t20st - 2s + 10t - 20

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Q. Factor.\newlinest2s+10t20st - 2s + 10t - 20
  1. Identify Terms: Step Title: Identify the Terms\newlineConcise Step Description: Identify the terms of the expression that can be grouped together.\newlineStep Calculation: The expression has four terms: stst, 2s-2s, 10t10t, 20-20.\newlineStep Output: Terms: stst, 2s-2s, 10t10t, 20-20
  2. Group Terms: Step Title: Group the Terms\newlineConcise Step Description: Group the terms in pairs to factor by grouping.\newlineStep Calculation: Group (st2s)(st - 2s) and (10t20)(10t - 20) together.\newlineStep Output: Grouped Terms: (st2s)+(10t20)(st - 2s) + (10t - 20)
  3. Factor Common Factors: Step Title: Factor Out the Common Factors\newlineConcise Step Description: Factor out the greatest common factor from each group.\newlineStep Calculation: From (st2s)(st - 2s), factor out s's'. From (10t20)(10t - 20), factor out 10'10'.\newlineStep Output: Factored Groups: s(t2)+10(t2)s(t - 2) + 10(t - 2)
  4. Factor Common Binomial: Step Title: Factor Out the Common Binomial\newlineConcise Step Description: Factor out the common binomial factor from the factored groups.\newlineStep Calculation: The common binomial factor is (t2)(t - 2).\newlineStep Output: Factored Expression: (t2)(s+10)(t - 2)(s + 10)