express the number 96 as the difference of 2 squares in 4 different ways.?

Question

no one can get this!!!

Answer 1

10² - 2² = 96
11² - 5² = 96
14² - 10² = 96
25² - 23² = 96

Answer 2

We want solutions to x²-y² = 96.
This gives (x+y)(x-y) = 96.
So x+y and x-y must be divisors of 96.
So let's try some possibilities and see what we get.
1). x + y = 48
x - y = 2
This gives 2x = 50
x = 25, y = 23.
25²-23² = 625-529 = 96.

2). x+y = 24
x - y = 4
This gives x = 14, y = 10.
14²-10² = 196-100 = 96

3). x+y = 16
x-y = 6
This yields x = 11, y = 5
and 11²-5² = 121-25 = 96.

4). x+y = 12
x-y = 8
We get x = 10, y=2
and 10²-2² = 100-4 = 96.

Hope that helps a bit!