Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor.\newline5qr10q+6r125qr - 10q + 6r - 12

Full solution

Q. Factor.\newline5qr10q+6r125qr - 10q + 6r - 12
  1. Group Terms: Group the terms to find common factors.\newlineGroup the terms in pairs: (5qr10q)(5qr - 10q) and (6r12)(6r - 12).
  2. Factor Common Factors: Factor out the greatest common factor from each pair.\newlineFrom the first pair (5qr10q)(5qr - 10q), factor out 5q5q: 5q(r2)5q(r - 2).\newlineFrom the second pair (6r12)(6r - 12), factor out 66: 6(r2)6(r - 2).
  3. Check Parentheses: Check if the terms in parentheses are the same.\newlineBoth terms have (r2)(r - 2) in parentheses.
  4. Factor by Grouping: Factor by grouping.\newlineSince both groups contain the factor (r2)(r - 2), factor this out: (r2)(5q+6)(r - 2)(5q + 6).