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