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

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    Hello

    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
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    (Original post by President Snow)
    Hello

    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
    Are you sure it's not 9x2y2 + 3x2 -3y2 -1?
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    Factorize by grouping.
    It may be helpful to think of 9 as 3*3.
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    (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!
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    (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
    • Thread Starter
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    Ah ha! Thank you both so much!

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

    I can see that now

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

    Thank you again
 
 
 
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