If 4 divides a^2-3b^2, then at least one of the integers a and b is even.

Step-by-step explanation:

The proof can be done by contradiction. Suppose both a, and b weren't even. So that a, and b are both odd. This means they both look like

(for some integers k and l)

So, let's compute what would be in this case:

which notice wouldn't be divisible by 4. This shows then that since is divisible by 4, at least one of the integers a and b is even.

i need a diagram

step-by-step explanation:

no

vertical asymptote .

horizontal asymptote .

step-by-step explanation:

given function is .

vertical asymptote is given by setting

denominator =0

when degree of numerator and denominator are same then divide first term of numerator by first term of denominator to get horizontal asymptote.