Thread: confused

what is the simplest form of (3y+4z)(3y-4z)

Originally Posted by joedil

what is the simplest form of (3y+4z)(3y-4z)

It depends whether you consider the factorised form or the expanded form the simplest...

(x + y)(x - y) = x^2 - y^2
Look up "difference of squares"

I just have a homework question I've been stuck on and hoping you guys can help me out a bit.
COnsider the number 48. If you add 1 to it, you get 49, which is a perfect square. If you add 1 to its (1/2), you get 25, which is also a perfect square. Please find the next 2 numbers with the same properties. like 48+1=49 (perfect square)
48/2=24, 24+1=25 (perfect square)

Thank you so much!

While it's probably not my place to educate new members, you, themathlete1, need to post a new thread for each question. Don't piggyback other people's threads. If you need a refresher on the rules, well, I cannot find them anywhere. They were here a year ago. In any case, make a new thread for each post. More people will see your problem.

Next 4: 1680, 57120, 1940448, 65918160

n + 1 = u^2
n/2 + 1 = v^2 (so n = even)
leads to:
2v^2 - u^2 = 1