Is it true or false thatandare composite numbers?

# Is it true or false thatandare composite numbers?

1. A
True

2. B
False

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### Solution:

We are given two numbers  and  and are asked to explain wthether they are composite. Let us consider the first number . We have;

We take 13 common in the above step to have;

We see that except one and the number itself 7×11×13+137×11×13+13 has two more factors 13 and 78. Since now it has more than two factors 7×11×13+137×11×13+13 is a composite number. Let us consider the second number. We have;

We take 5 common in the above step to have;
So, the statement is true.

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