Prove the divisibility of the following expressions:

10^6−5^7 is divisible by 59
81^7−27^9−9^13 by 45

A divisibility test is a rule to determine whether one whole number is divisible by another number.

If after dividing a number by a number we get an integer then we can say that the number is divisible by the number.

1) Here, the given expression,

Which is an integer,

⇒ is divisible by 59.

2) Here, the given expression,

Which is an integer,

⇒ is divisible by 45.

the answer

b. they are parallel and will never intersect.