Question

if ab+1/ab=4, what is the value of a^2b^2+1/a^2b^2?

Answer 1

The question is very unclear.
Did you mean \(\large\rm ab+\frac{1}{ab}=4\)

or \(\large\rm \frac{ab+1}{ab}=4\)

?

Answer 2

the first one

Answer 3

(ab) + 1/ab = 4

Answer 4

Hmm I remember seeing this question before D:
Trying to rememberrrr

Answer 5

I want to know the steps to solving it.

Answer 6

Well let's try this :)
What happens when you square each side?\[\large\rm \left(ab+\frac{1}{ab}\right)^2=4^2\]Do you remember how to expand out a pair of binomials like this?
Sometimes we call it FOIL'ing.

Answer 7

yes I know FOIL'ing