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Which expression shows a way to factor 15+3515 + 35?\newlineChoices:\newline(A) 3(5+11)3(5 + 11)\newline(B) 5(3+7)5(3 + 7)\newline(C) 7(2+5)7(2 + 5)\newline(D) 15(1+2)15(1 + 2)

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Factor numerical expressions using the distributive propertyright chevron icon

Full solution

Q. Which expression shows a way to factor 15+3515 + 35?\newlineChoices:\newline(A) 3(5+11)3(5 + 11)\newline(B) 5(3+7)5(3 + 7)\newline(C) 7(2+5)7(2 + 5)\newline(D) 15(1+2)15(1 + 2)
  1. Identify GCF: Identify the Greatest Common Factor (GCF) of 1515 and 3535.\newlineCalculation: Factors of 1515 are 11, 33, 55, 1515. Factors of 3535 are 11, 55, 353500, 3535. The GCF is 55.
  2. Express using GCF: Express 15+3515 + 35 using the GCF.\newlineCalculation: 15+35=5(3)+5(7)=5(3+7)15 + 35 = 5(3) + 5(7) = 5(3 + 7).
  3. Match with choices: Match the expression with the given choices.\newlineCalculation: The expression 5(3+7)5(3 + 7) matches choice (B).

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