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Factor.\newline9st9s+5t59st - 9s + 5t - 5

Full solution

Q. Factor.\newline9st9s+5t59st - 9s + 5t - 5
  1. Group Terms: Group terms that have common factors.\newlineWe can group the terms as follows: 9st9s9st - 9s + 5t55t - 5.
  2. Factor Common Factors: Factor out the common factors from each group.\newlineFrom the first group 9st9s9st - 9s, we can factor out 9s9s, resulting in 9s(t1)9s(t - 1).\newlineFrom the second group 5t55t - 5, we can factor out 55, resulting in 5(t1)5(t - 1).
  3. Write Factored Expression: Write the expression with the factored groups.\newlineThe expression now looks like this: 9s(t1)+5(t1)9s(t - 1) + 5(t - 1).
  4. Factor Common Binomial: Factor out the common binomial factor.\newlineBoth groups contain the common binomial factor (t1)(t - 1), so we can factor this out.\newlineThe factored expression is (t1)(9s+5)(t - 1)(9s + 5).