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Which expression shows a way to factor 55+3355 + 33?\newlineChoices:\newline(A) 5(11+7)5(11 + 7)\newline(B) 11(5+3)11(5 + 3)\newline(C) 3(18+11)3(18 + 11)\newline(D) 15(3+2)15(3 + 2)

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Factor numerical expressions using the distributive propertyright chevron icon

Full solution

Q. Which expression shows a way to factor 55+3355 + 33?\newlineChoices:\newline(A) 5(11+7)5(11 + 7)\newline(B) 11(5+3)11(5 + 3)\newline(C) 3(18+11)3(18 + 11)\newline(D) 15(3+2)15(3 + 2)
  1. Identify GCF: Identify the Greatest Common Factor (GCF) of 5555 and 3333.\newlineCalculation: Factors of 5555 are 11, 55, 1111, 5555. Factors of 3333 are 11, 33, 1111, 3333. The GCF is 1111.
  2. Express using GCF: Express 55+3355 + 33 using the GCF.\newlineCalculation: 55+33=11×5+11×3=11(5+3)55 + 33 = 11 \times 5 + 11 \times 3 = 11(5 + 3).
  3. Match with choices: Match the expression with the choices given.\newlineCalculation: The expression 11(5+3)11(5 + 3) matches choice (B)(B).

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