SOLUTION: factor completely. if polynomial is prime state this {{{ 98a^4 - 72b^2 }}} I could really use so help I am really confused thanks

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor completely. if polynomial is prime state this {{{ 98a^4 - 72b^2 }}} I could really use so help I am really confused thanks      Log On


   

Question 332112: factor completely. if polynomial is prime state this

+98a%5E4+-+72b%5E2+
I could really use so help I am really confused
thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
98a%5E4-72b%5E2 First, factor 2.
2%2849a%5E4-36b%5E2%29 Now for some creative factoring:
2%28%287a%5E2%29%5E2-%286b%29%5E2%29 Now we have the difference of two squares in the parentheses and the difference of two squares is factorable thus:
A%5E2-B%5E2+=+%28A%2BB%29%28A-B%29 so we can apply this to your problem by letting A+=+7a%5E2 and B+=+6b.