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Factor.\newline9yz9y+8z89yz - 9y + 8z - 8

Full solution

Q. Factor.\newline9yz9y+8z89yz - 9y + 8z - 8
  1. Group Terms: Group the terms that have common factors.\newlineWe can group the terms as follows: 9yz9y9yz - 9y + 8z88z - 8.
  2. Factor Common Factors: Factor out the common factors from each group.\newlineFrom the first group 9yz9y9yz - 9y, we can factor out 9y9y, giving us 9y(z1)9y(z - 1).\newlineFrom the second group 8z88z - 8, we can factor out 88, giving us 8(z1)8(z - 1).
  3. Rewrite Expression: Rewrite the expression using the factored groups.\newlineThe expression now looks like this: 9y(z1)+8(z1)9y(z - 1) + 8(z - 1).
  4. Factor Binomial Factor: Factor out the common binomial factor (z1)(z - 1). Both terms have a (z1)(z - 1) factor, so we can factor that out to get (z1)(9y+8)(z - 1)(9y + 8).