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Which expression shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common factor?

A7(3+6)7(3+6) ​

​B) 9(4+5)9(4+5) ​


​C) 9(3+4)9(3+4) ​


D)​ 7(4+5)7(4+5) ​

Verified Answer :

b is the answer, i think it is at least.

Answer:

Option C.

Step-by-step explanation:

The given expression is

\(27+36\)

We need to express 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common factor.

Factors of each term,

\(27=3\times 3\times 3\)

\(36=2\times 2\times 3\times 3\)

\(GCF(27,36)=3\times 3=9\)

The given expression can be rewritten as

\(9\times 3+9\times 4\)

Taking ou GCF,

\(9(3+4)\)

Therefore, the correct option is C.