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Factor 99−45f+36b99-45f+36b to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA) 9(11−5f+4b)9(11-5f+4b)\newlineB) 3(33−15+12)3(33-15+12)\newlineC) 11(9−4f+3b)11(9-4f+3b)\newlineD) 3(33−15f+12b)3(33-15f+12b)

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Q. Factor 99−45f+36b99-45f+36b to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA) 9(11−5f+4b)9(11-5f+4b)\newlineB) 3(33−15+12)3(33-15+12)\newlineC) 11(9−4f+3b)11(9-4f+3b)\newlineD) 3(33−15f+12b)3(33-15f+12b)
  1. Determine GCF: Determine the Greatest Common Factor (GCF) of the coefficients 9999, −45-45, and 3636. The GCF of 9999, 4545, and 3636 is 99.
  2. Factor out GCF: Factor out the GCF from each term in the expression.\newlineThe factored form of 99−45f+36b99 - 45f + 36b is 9(11−5f+4b)9(11 - 5f + 4b).
  3. Check answer choices: Check the answer choices to see which ones match the factored expression.\newlineThe correct factored expression is 9(11−5f+4b)9(11 - 5f + 4b), so we look for this expression among the choices.
  4. Compare with choices: Compare the factored expression with the answer choices.\newlineChoice A is 9(11−5f+4b)9(11 - 5f + 4b), which matches our factored expression.\newlineChoice B is 3(33−15+12)3(33 - 15 + 12), which is incorrect because it does not include the variable terms and the numbers inside the parentheses are not correct.\newlineChoice C is 11(9−4f+3b)11(9 - 4f + 3b), which is incorrect because the GCF was 99, not 1111.\newlineChoice D is 3(33−15f+12b)3(33 - 15f + 12b), which is incorrect because the GCF was 99, not 33, and the numbers inside the parentheses are not correct when compared to the original expression.

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