Question

how will you show that (17)(11)(2)+(17)(11)(5) is a composite number

Answer 1

(17×11×2)+(17×11×5)
=374+935
=1309
Since 1309 can be divided by 7,it is a composite number.

Answer 2

any number it has 3 or more factors is called composite number.
given 17*11*2 +17*11*5
= (17* 11) [2+5]  here 17*11 are common in two terms
=17*11*7 (three factors)
∴it is composite number