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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?

A) 7(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) ​

Respuesta :

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

Answer:

Option C.

Step-by-step explanation:

The given expression is

[tex]27+36[/tex]

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,

[tex]27=3\times 3\times 3[/tex]

[tex]36=2\times 2\times 3\times 3[/tex]

[tex]GCF(27,36)=3\times 3=9[/tex]

The given expression can be rewritten as

[tex]9\times 3+9\times 4[/tex]

Taking ou GCF,

[tex]9(3+4)[/tex]

Therefore, the correct option is C.

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