Here, we are required to determine which expression shows the sum of 72 and 96 as the product of the GCF and a sum of two numbers with no common factor?
The answer is Choice B: 24(3 + 4)
Factors of 72 are;
2 × 2 × 2 × 3 × 3
Factors of 96 are;
2 × 2 × 2 × 2 × 2 × 3
The factors in bold above are common to 72 and 96 and therefore gives a total of 24 which is the GCF of 72 and 96.
The remaining factor of 72 and 96 are 3 and 4 respectively.
And, since 3 and 4 have no common factor,
Therefore, the expression which shows the sum of 72 and 96 as the product of the GCF
and a sum of two numbers with no common factor is:
24(3 + 4)
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