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How to factorise 9x^2y^2 + 3x^2 - 3y^2 + 1

Hello :smile:

How would I go about factorising:

9x^2y^2 + 3x^2 - 3y^2 + 1?

I have literally no idea where to start, or even whether it is possible to factorise.

Any tips or pointers would be greatly appreciated. Thank you for your time :smile:
Reply 1
Avatar for joostan
joostan
13
Original post by President Snow
Hello :smile:

How would I go about factorising:

9x^2y^2 + 3x^2 - 3y^2 + 1?

I have literally no idea where to start, or even whether it is possible to factorise.

Any tips or pointers would be greatly appreciated. Thank you for your time :smile:


Are you sure it's not 9x2y2 + 3x2 -3y2 -1?
Reply 2
Avatar for aznkid66
aznkid66
1
Factorize by grouping.
It may be helpful to think of 9 as 3*3.
Original post by joostan
Are you sure it's not 9x2y2 + 3x2 -3y2 -1?


I will have to check and get back to you on that.

There was initially a long wordy question which after much working came down to what I got above. I am pretty sure my general method was right, and it definitely came to +1, but I will have to double check for a sign error.

Is -1 much easier?

Thank you both very much for your help here! I will investigate factorising by grouping.

Thank you!
Reply 4
Avatar for joostan
joostan
13
Original post by President Snow
I will have to check and get back to you on that.

There was initially a long wordy question which after much working came down to what I got above. I am pretty sure my general method was right, and it definitely came to +1, but I will have to double check for a sign error.

Is -1 much easier?

Thank you both very much for your help here! I will investigate factorising by grouping.

Thank you!


-1 is considerably easier :smile:
Ah ha! Thank you both so much!

So if it is -1, it is (3x2 - 1)(3y2 +1)

I can see that now :smile:

Now I just need to go and make my +1 a -1 :tongue:

Thank you again :smile:

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