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Factor.\newline7wx14w+3x67wx - 14w + 3x - 6

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Q. Factor.\newline7wx14w+3x67wx - 14w + 3x - 6
  1. Group Terms: Group terms that have common factors.\newlineWe can group the terms as follows: 7wx14w7wx - 14w + 3x63x - 6.
  2. Factor Common Factor: Factor out the greatest common factor from each group.\newlineFrom the first group 7wx14w7wx - 14w, we can factor out 7w7w, giving us 7w(x2)7w(x - 2).\newlineFrom the second group 3x63x - 6, we can factor out 33, giving us 3(x2)3(x - 2).
  3. Rewrite Expression: Rewrite the expression using the factored groups.\newlineThe expression now looks like this: 7w(x2)+3(x2)7w(x - 2) + 3(x - 2).
  4. Factor Common Binomial: Factor out the common binomial factor.\newlineWe can see that (x2)(x - 2) is a common factor in both terms, so we factor it out, giving us (x2)(7w+3)(x - 2)(7w + 3).