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Factor 
20 r+60 t to identify the equivalent expressions.
Choose 2 answers:
A 
4(5r+15 t)
B 
5(5r+12)
C 
60(20 r+t)
D 
20(r+3t)

Factor 20r+60t 20 r+60 t to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA 4(5r+15t) 4(5 r+15 t) \newlineB 5(5r+12) 5(5 r+12) \newlineC 60(20r+t) 60(20 r+t) \newlineD 20(r+3t) 20(r+3 t)

Full solution

Q. Factor 20r+60t 20 r+60 t to identify the equivalent expressions.\newlineChoose 22 answers:\newlineA 4(5r+15t) 4(5 r+15 t) \newlineB 5(5r+12) 5(5 r+12) \newlineC 60(20r+t) 60(20 r+t) \newlineD 20(r+3t) 20(r+3 t)
  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 20r20r and 60t60t is 2020.\newlineStep Output: GCF: 2020
  2. Factor Out GCF: Step Title: Factor Out the GCF\newlineConcise Step Description: Use the GCF to factor the expression.\newlineStep Calculation: Factoring out the GCF, 2020, we get 20(r+3t)20(r + 3t).\newlineStep Output: Factored Expression: 20(r+3t)20(r + 3t)
  3. Compare with Options: Step Title: Compare with Options\newlineConcise Step Description: Compare the factored expression with the given options to identify the equivalent expressions.\newlineStep Calculation: The factored expression 20(r+3t)20(r + 3t) matches with option D. Now, we need to check if any other options are equivalent.\newlineStep Output: Matching Option: D
  4. Check Other Options: Step Title: Check Other Options\newlineConcise Step Description: Check if any other options are equivalent to the factored expression by simplifying them.\newlineStep Calculation: Option A simplifies to 20r+60t20r + 60t, which is equivalent to the original expression. Options B and C do not simplify to the original expression.\newlineStep Output: Equivalent Options: A and D

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