Identify Terms: Step Title: Identify the TermsConcise Step Description: Identify the terms of the expression that need to be factored.Step Calculation: The expression has four terms: 20qr, 15q, 12r, and 9.Step Output: Terms: 20qr, 15q, 12r, 9
Group Terms: Step Title: Group the TermsConcise Step Description: Group the terms in pairs to factor by grouping.Step Calculation: Group the terms as 20qr+15q and 12r+9.Step Output: Grouped Terms: 20qr+15q + 12r+9
Factor Out GCF: Step Title: Factor Out the Greatest Common Factor (GCF) from Each GroupConcise Step Description: Factor out the GCF from each group of terms.Step Calculation: For the first group 20qr+15q, the GCF is 5q. For the second group 12r+9, the GCF is 3.Step Output: Factored Groups: 5q(4r+3)+3(4r+3)
Factor Out Binomial: Step Title: Factor Out the Common Binomial FactorConcise Step Description: Factor out the common binomial factor from the factored groups.Step Calculation: The common binomial factor is (4r+3).Step Output: Factored Expression: (5q+3)(4r+3)