Does Squaring a number and adding one will always result in an even number

No, if you square an odd number and add one the result would be even but if you square an even number and add one, the result would be odd.

no, let's say we're squaring 2.

Step-by-step explanation:

2^2 = 2 x 2.

2 x 2 = 4

4 + 1 = 5

5 isn't even.

Basically, squaring a number that is already even and adding one will equal and odd number.