Q. Factor 28+56t+28w to identify the equivalent expressions.Choose 2 answers:A 2(56+112t+56w)B 28(1+2t+w)c 4(7+13t+7w)D 7(4+8t+4w)
Identify GCF: Step Title: Identify the Greatest Common Factor (GCF)Concise Step Description: Determine the greatest common factor of the terms in the expression.Step Calculation: The GCF of 28, 56t, and 28w is 28.Step Output: GCF: 28
Factor Out GCF: Step Title: Factor Out the GCFConcise Step Description: Divide each term in the expression by the GCF and factor it out.Step Calculation: (2828)+(2856t)+(2828w)=1+2t+wStep Output: Factored Expression: 28(1+2t+w)
Compare with Choices: Step Title: Compare with Answer ChoicesConcise Step Description: Compare the factored expression with the given answer choices.Step Calculation: The factored expression 28(1+2t+w) matches with answer choice B.Step Output: Matching Answer Choice: B
Check Additional Answers: Step Title: Check for Additional Correct AnswersConcise Step Description: Check if any other answer choices are equivalent to the factored expression.Step Calculation: Simplify each answer choice to see if it is equivalent to 28(1+2t+w).- Answer A: 2(56+112t+56w) simplifies to 112+224t+112w, which is not equivalent.- Answer C: 4(7+13t+7w) simplifies to 28+52t+28w, which is not equivalent.- Answer D: 7(4+8t+4w) simplifies to 28+56t+28w, which is equivalent to the original expression.Step Output: Additional Matching Answer Choice: D
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