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Factor.\newline8fg16f+7g148fg - 16f + 7g - 14

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Q. Factor.\newline8fg16f+7g148fg - 16f + 7g - 14
  1. Group Terms: Group the terms to make factoring easier.\newlineGroup the terms with common factors together: 8fg16f8fg - 16f + 7g147g - 14.
  2. Factor Common Factors: Factor out the greatest common factor from each group.\newlineFrom the first group 8fg16f8fg - 16f, factor out 8f8f: 8f(g2)8f(g - 2).\newlineFrom the second group 7g147g - 14, factor out 77: 7(g2)7(g - 2).
  3. Write Factored Form: Write down the factored form using the distributive property.\newlineSince both groups contain the factor (g2)(g - 2), factor this out: (g2)(8f+7)(g - 2)(8f + 7).