Question

Show that (17×11×12)+(17×11×5) is composite

Answer 1

Solution -
(17×11×2) + (17×11×5)let take common as 17×11
(17×11) (2+5)17 ×11× 7
we know that product of primes will be a composite number.
hence (17×11×2) + (17×11×5) it is a composite number.

Answer 2

Solution:

To prove: (17x11x12)+(17x11x5) is composite,

Proof: According fundamental theorem of arithmetic, every composite number is the product of prime numbers.
so,
(17x11x12)+(17x11x5)
=(17x11)(12)+(17x11)(5)
=(17x11)(12+5)
=(17x11)(17)...17 is prime number,so it is composite,Hope It Helps