Final answer:
To factor the expression 70 + 49, find the GCF which is 7 and divide both terms by 7, resulting in the factored form 7(10 + 7).
Step-by-step explanation:
You have been asked to factor the expression 70 + 49 and write it in the form a(b + c), where a is the Greatest Common Factor (GCF) of 70 and 49.
To find the GCF of 70 and 49, you need to list the factors of each number and then find the largest factor they have in common. The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. The factors of 49 are 1, 7, and 49. The largest factor that 70 and 49 have in common is 7. Therefore, 7 is the GCF of 70 and 49.
Next, you'll divide both 70 and 49 by the GCF, which gives us 70 ÷ 7 = 10 and 49 ÷ 7 = 7.
The factored form of 70 + 49, using the GCF, is:
7(10 + 7)