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Factor 24 j-16 to identify the equivalent expressions. Choose 2 answers: A 8(3j-2) B 6(4j-2j) c 4(6j-4) D 2(12-8)

Factor 24j−16 24 j-16 to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA 8(3j−2) 8(3 j-2) \newlineB 6(4j−2j) 6(4 j-2 j) \newlineC 4(6j−4) 4(6 j-4) \newlineD 2(12−8) 2(12-8)

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Full solution

Q. Factor 24j−16 24 j-16 to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA 8(3j−2) 8(3 j-2) \newlineB 6(4j−2j) 6(4 j-2 j) \newlineC 4(6j−4) 4(6 j-4) \newlineD 2(12−8) 2(12-8)
  1. Identify GCF: Step Title: Identify the Greatest Common Factor (GCF)\newlineConcise Step Description: Determine the greatest common factor of the terms in the expression.\newlineStep Calculation: The GCF of 24j24j and −16-16 is 88.
  2. Factor Out GCF: Step Title: Factor Out the GCF\newlineConcise Step Description: Factor the GCF out of the expression.\newlineStep Calculation: Factoring out 88 from 24j−1624j - 16 gives 8(3j−2)8(3j - 2).
  3. Verify Equivalent Expressions: Step Title: Verify the Equivalent Expressions\newlineConcise Step Description: Check the given options to see which ones are equivalent to the factored expression.\newlineStep Calculation: Option A is 8(3j−2)8(3j - 2), which matches the factored expression. Option C is 4(6j−4)4(6j - 4), which can be simplified to 4(6j)−4(4)=24j−164(6j) - 4(4) = 24j - 16, which is also equivalent to the original expression. Options B and D are not equivalent to the original expression.

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