contestada

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

A. 7(6 + 3)
B. 9(4 + 3)
C. 7(4 + 5)
D. 9(2 + 5)

Respuesta :

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

Answer:

[tex]C. 7(4 + 5)[/tex]

Step-by-step explanation:

we have

[tex]28+35[/tex]

we know that  [tex]28=7*4[/tex]

and that [tex]35=7*5[/tex]

so the number 7 is their greatest common factor, thus instead of [tex]28 + 35[/tex] we can write the following:

[tex]7*8+7*5[/tex]

and taking the common factor out:

[tex]7(4+5)[/tex]

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.