Group Terms: Group the terms to find common factors.Group the terms in pairs: (5qr−10q) and (6r−12).
Factor Common Factors: Factor out the greatest common factor from each pair.From the first pair (5qr−10q), factor out 5q: 5q(r−2).From the second pair (6r−12), factor out 6: 6(r−2).
Check Parentheses: Check if the terms in parentheses are the same.Both terms have (r−2) in parentheses.
Factor by Grouping: Factor by grouping.Since both groups contain the factor (r−2), factor this out: (r−2)(5q+6).