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Factor.\newline16rs8r+10s516rs - 8r + 10s - 5

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Q. Factor.\newline16rs8r+10s516rs - 8r + 10s - 5
  1. Group Terms: Group terms that have common factors.\newlineWe can group the terms as follows: 16rs8r16rs - 8r + 10s510s - 5.
  2. Factor Common Factor: Factor out the greatest common factor from each group.\newlineFrom the first group 16rs8r16rs - 8r, we can factor out 8r8r, giving us 8r(2s1)8r(2s - 1).\newlineFrom the second group 10s510s - 5, we can factor out 55, giving us 5(2s1)5(2s - 1).
  3. Write Final Expression: Write the expression as a product of the factored groups.\newlineSince both groups contain the factor (2s1)(2s - 1), we can factor this out to get the final factored form.\newlineThe expression becomes (8r+5)(2s1)(8r + 5)(2s - 1).