Factor 35+49. Write your answer in the form a(b+c) where a is the GCF of 35 and 49.
To find the GCF of 35 and 49, we can list the factors of both numbers and identify the greatest common factor.
The factors of 35 are 1, 5, 7, and 35.
The factors of 49 are 1, 7, and 49.
The greatest common factor between the two numbers is 7.
So to factor 35+49, we can first add the two numbers to get 84. Then we can write 35 as 7*5 and 49 as 7*7.
Thus, 35+49 can be factored as 7(5+7) or 7(12).