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Factor 
28+56 t+28 w to identify the equivalent expressions.
Choose 2 answers:
A 
2(56+112 t+56 w)
B 
28(1+2t+w)
c 
4(7+13 t+7w)
D 
7(4+8t+4w)

Factor 28+56t+28w 28+56 t+28 w to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA 2(56+112t+56w) 2(56+112 t+56 w) \newlineB 28(1+2t+w) 28(1+2 t+w) \newlinec 4(7+13t+7w) 4(7+13 t+7 w) \newlineD 7(4+8t+4w) 7(4+8 t+4 w)

Full solution

Q. Factor 28+56t+28w 28+56 t+28 w to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA 2(56+112t+56w) 2(56+112 t+56 w) \newlineB 28(1+2t+w) 28(1+2 t+w) \newlinec 4(7+13t+7w) 4(7+13 t+7 w) \newlineD 7(4+8t+4w) 7(4+8 t+4 w)
  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 2828, 56t56t, and 28w28w is 2828.\newlineStep Output: GCF: 2828
  2. Factor Out GCF: Step Title: Factor Out the GCF\newlineConcise Step Description: Divide each term in the expression by the GCF and factor it out.\newlineStep Calculation: (2828)+(56t28)+(28w28)=1+2t+w(\frac{28}{28}) + (\frac{56t}{28}) + (\frac{28w}{28}) = 1 + 2t + w\newlineStep Output: Factored Expression: 28(1+2t+w)28(1 + 2t + w)
  3. Compare with Choices: Step Title: Compare with Answer Choices\newlineConcise Step Description: Compare the factored expression with the given answer choices.\newlineStep Calculation: The factored expression 28(1+2t+w)28(1 + 2t + w) matches with answer choice B.\newlineStep Output: Matching Answer Choice: BB
  4. Check Additional Answers: Step Title: Check for Additional Correct Answers\newlineConcise Step Description: Check if any other answer choices are equivalent to the factored expression.\newlineStep Calculation: Simplify each answer choice to see if it is equivalent to 28(1+2t+w)28(1 + 2t + w).\newline- Answer A: 2(56+112t+56w)2(56 + 112t + 56w) simplifies to 112+224t+112w112 + 224t + 112w, which is not equivalent.\newline- Answer C: 4(7+13t+7w)4(7 + 13t + 7w) simplifies to 28+52t+28w28 + 52t + 28w, which is not equivalent.\newline- Answer D: 7(4+8t+4w)7(4 + 8t + 4w) simplifies to 28+56t+28w28 + 56t + 28w, which is equivalent to the original expression.\newlineStep Output: Additional Matching Answer Choice: D

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