#1**0 **

I believe this is how you do it.

Use the formula to factor: a^2+b^2=(a+b)(a-b)

y^2 is already a perfect square.

49=7*7=7^2 and that's your other perfect square.

Now your expression is y^2+7^2=(y-7)(y+7)

RainbowPanda
Sep 12, 2018

#3**+1 **

That's not quite right RP! The general expression is a^{2} - b^{2} = (a + b)(a - b)

Here we have a = y, but b = 7i, where i is the square root of -1.

So y^{2} + 49 → y^{2} - (7i)^{2} → (y + 7i)(y - 7i) (Note that i^{2} = -1)

Alan
Sep 12, 2018

#4**0 **

Figures, I knew the actual equation but I thought that was only for - and not +. Thanks for correcting me though!

RainbowPanda
Sep 12, 2018