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Which expression shows a way to factor 27+6327 + 63?\newlineChoices:\newline(A) 9(3+7)9(3 + 7)\newline(B) 3(9+22)3(9 + 22)\newline(C) 7(4+9)7(4 + 9)\newline(D) 13(2+5)13(2 + 5)

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Factor numerical expressions using the distributive propertyright chevron icon

Full solution

Q. Which expression shows a way to factor 27+6327 + 63?\newlineChoices:\newline(A) 9(3+7)9(3 + 7)\newline(B) 3(9+22)3(9 + 22)\newline(C) 7(4+9)7(4 + 9)\newline(D) 13(2+5)13(2 + 5)
  1. Find GCF of 2727 and 6363: Find the Greatest Common Factor (GCF) of 2727 and 6363.\newlineCalculation: Factors of 2727 are 11, 33, 99, 2727. Factors of 6363 are 11, 33, 636322, 99, 636344, 6363. The highest common factor is 99.
  2. Write in factored form: Write 27+6327 + 63 in the factored form using the GCF.\newlineCalculation: 27+63=9(3)+9(7)=9(3+7)27 + 63 = 9(3) + 9(7) = 9(3 + 7).
  3. Match with choices: Match the factored form with the given choices.\newlineCalculation: The expression 9(3+7)9(3 + 7) matches choice (A)(A).

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