Group Terms: Group terms that have common factors.We can group the terms as follows: 16rs−8r + 10s−5.
Factor Common Factor: Factor out the greatest common factor from each group.From the first group 16rs−8r, we can factor out 8r, giving us 8r(2s−1).From the second group 10s−5, we can factor out 5, giving us 5(2s−1).
Write Final Expression: Write the expression as a product of the factored groups.Since both groups contain the factor (2s−1), we can factor this out to get the final factored form.The expression becomes (8r+5)(2s−1).