SOLUTION: Is the following binomial a difference of squares? 9a^2-8b^2

Algebra ->  Square-cubic-other-roots -> SOLUTION: Is the following binomial a difference of squares? 9a^2-8b^2      Log On


   



Question 84593: Is the following binomial a difference of squares? 9a^2-8b^2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Is the binomial a difference of squares?
9a%5E2-8b%5E2
Look at the first term:9a%5E2.
Take the square root: sqrt%289a%5E2%29+=+3a the first term is a perfect square.
Now look at the second term: 8b%5E2.
Take the square root: sqrt%288b%5E2%29+=+sqrt%288%29%2Ab the second term is not a perfect square, so the binomial 9a%5E2-8b%5E2 is not the difference of squares.