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Which expression shows 28 + 35 as the product of their greatest common factor and the sum of two whole numbers with no common factor?

A7(6 + 3)
B9(4 + 3)
C7(4 + 5)
D9(2 + 5)

Verified Answer :

Blackops

the answer is C. because it is the only one that does not contain a common factor

Answer:

\(C. 7(4 + 5)\)

Step-by-step explanation:

we have

\(28+35\)

we know that  \(28=7*4\)

and that \(35=7*5\)

so the number 7 is their greatest common factor, thus instead of \(28 + 35\) we can write the following:

\(7*8+7*5\)

and taking the common factor out:

\(7(4+5)\)

we get that the answer that is the product of the greatest common factor (7) and the sum of two whole numers (4+5) is opction C.

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