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Apply the distributive property to factor out the greatest common factor. 12+80=

Apply the distributive property to factor out the greatest common factor.\newline12+80= 12+80=

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Q. Apply the distributive property to factor out the greatest common factor.\newline12+80= 12+80=
  1. Identify GCF of 1212 and 8080: Identify the greatest common factor (GCF) of 1212 and 8080.\newlineTo find the GCF, we list the factors of each number and find the largest factor they have in common.\newlineFactors of 1212: 11, 22, 33, 44, 66, 1212\newlineFactors of 8080: 11, 22, 44, 808055, 808066, 808077, 808088, 808099, 121200, 8080\newlineThe GCF of 1212 and 8080 is 44.
  2. Factor out GCF using distributive property: Use the distributive property to factor out the GCF from the expression 12+8012 + 80.\newlineThe distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. We apply this in reverse to factor out the GCF.\newlineSo, we write 12+8012 + 80 as 4(3)+4(20)4(3) + 4(20).
  3. Combine factored terms: Combine the factored terms.\newlineAfter factoring out the GCF, we combine the terms inside the parentheses.\newline4(3+20)=4(23)4(3 + 20) = 4(23)

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