Question

if a and b are any two integers such that a>b, then a^2>b^2 . True or false? Give reason.

Answer 1

Answer:

Yes Because It Is Given That,

a>b.

Therefore, Now Squaring Both Sides.

That Is, a²>b².

Hope This Will Help u Mate.

Answer 2

Answer:

Step-by-step explanation:

NOT true if a and b are integers.

Example: - 1 > - 2 , but 1 < 4 , where 1 = (- 1)^2 and 4 = (- 2)^2

However it is true if a and b are natural numbers.

a > b ---> a - b > 0

---> (a - b)(a + b) > 0

---> a^2 - b^2 > 0

---> a^2 > b^2