Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor.\newline20qr+15q+12r+920qr + 15q + 12r + 9

Full solution

Q. Factor.\newline20qr+15q+12r+920qr + 15q + 12r + 9
  1. Identify Terms: Step Title: Identify the Terms\newlineConcise Step Description: Identify the terms of the expression that need to be factored.\newlineStep Calculation: The expression has four terms: 20qr20qr, 15q15q, 12r12r, and 99.\newlineStep Output: Terms: 20qr20qr, 15q15q, 12r12r, 99
  2. Group Terms: Step Title: Group the Terms\newlineConcise Step Description: Group the terms in pairs to factor by grouping.\newlineStep Calculation: Group the terms as 20qr+15q20qr + 15q and 12r+912r + 9.\newlineStep Output: Grouped Terms: 20qr+15q20qr + 15q + 12r+912r + 9
  3. Factor Out GCF: Step Title: Factor Out the Greatest Common Factor (GCF) from Each Group\newlineConcise Step Description: Factor out the GCF from each group of terms.\newlineStep Calculation: For the first group 20qr+15q20qr + 15q, the GCF is 5q5q. For the second group 12r+912r + 9, the GCF is 33.\newlineStep Output: Factored Groups: 5q(4r+3)+3(4r+3)5q(4r + 3) + 3(4r + 3)
  4. Factor Out Binomial: Step Title: Factor Out the Common Binomial Factor\newlineConcise Step Description: Factor out the common binomial factor from the factored groups.\newlineStep Calculation: The common binomial factor is (4r+3)(4r + 3).\newlineStep Output: Factored Expression: (5q+3)(4r+3)(5q + 3)(4r + 3)