SOLUTION: I was helping another user over email, and was ask this question. I am not certain of the answer and do not want to give any mis-information. (-a^2 + b^2)(a^2 + b^2) If yo

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: I was helping another user over email, and was ask this question. I am not certain of the answer and do not want to give any mis-information. (-a^2 + b^2)(a^2 + b^2) If yo      Log On

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Question 480485: I was helping another user over email, and was ask this question. I am not certain of the answer and do not want to give any mis-information.
(-a^2 + b^2)(a^2 + b^2)
If you could help, it would be appreciated.
Cleomenius.
Found 2 solutions by lwsshak3, MathTherapy:
Answer by lwsshak3(6513) About Me  (Show Source):
You can put this solution on YOUR website!
(-a^2 + b^2)(a^2 + b^2)
-(a^2-b^2)(a^2+b^2)
difference of squares
-(a^4-b^4)

Answer by MathTherapy(1425) About Me  (Show Source):
You can put this solution on YOUR website!
I was helping another user over email, and was ask this question. I am not certain of the answer and do not want to give any mis-information.
(-a^2 + b^2)(a^2 + b^2)
If you could help, it would be appreciated.
Cleomenius.

%28-a%5E2++%2B+b%5E2%29%28a%5E2++%2B++b%5E2%29 --- Multiply using the FOIL method

F (first): -a%5E2+%2A+a%5E2 = -+a%5E4

O (outer): -a%5E2+%2A+b%5E2 = -+a%5E2b%5E2

I (inner): b%5E2+%2A+a%5E2 = %2B+a%5E2b%5E2

L (last): b%5E2+%2A+b%5E2 = %2B+b%5E4

Putting them together, we get: -+a%5E4+-+a%5E2b%5E2+%2B+a%5E2b%5E2+%2B+b%5E4 ---- highlight_green%28-+a%5E4+%2B+b%5E4%29

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