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Factor.\newline18f3+9f2+10f+518f^3 + 9f^2 + 10f + 5

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Q. Factor.\newline18f3+9f2+10f+518f^3 + 9f^2 + 10f + 5
  1. Identify Common Factors: Step Title: Identify Common Factors in Pairs\newlineConcise Step Description: Look for common factors in the first two terms and the last two terms separately.\newlineCalculation: The first two terms, 18f318f^3 and 9f29f^2, have a common factor of 9f29f^2. The last two terms, 10f10f and 55, have a common factor of 55.\newlineMath Error Check:
  2. Factor by Grouping: Step Title: Factor by Grouping\newlineConcise Step Description: Apply the common factors to group the terms and factor them.\newlineCalculation: Factoring out the common factors gives us 9f2(2f+1)+5(2f+1)9f^2(2f + 1) + 5(2f + 1).\newlineMath Error Check:
  3. Factor Out the Common Binomial: Step Title: Factor Out the Common Binomial\newlineConcise Step Description: Factor out the common binomial factor from the two groups.\newlineCalculation: The common binomial factor is (2f+1)(2f + 1), so we factor it out to get (2f+1)(9f2+5)(2f + 1)(9f^2 + 5).\newlineMath Error Check: