Which expression uses the greatest common factor and the distributive property to rewrite the sum 42 + 72?

6(7 + 12)

7(6 + 9)

12(3 + 6)

2(40 + 70)

Respuesta :

The answer is 6(7+12) because 6*7 is 42 and 6*12 is 72

Answer:

Option 1.

Step-by-step explanation:

Consider the given expression

[tex]42+72[/tex]

We need to rewrite the above expression.

The factored form of each term is

[tex]42=2\times 3\times 7[/tex]

[tex]72=2\times 2\times 2\times 3\times 3[/tex]

The greatest common factors of 42 and 72 is

[tex]GCF(42,72)=2\times 3=6[/tex]

Taking out the greatest common factor in the given expression.

[tex]6(7+12)[/tex]

Therefore, the correct option is 1.