Posted by Jack on November 10, 2002 at 15:05:04:
In Reply to: HELP - Algebra equation posted by Marie-Claire on November 10, 2002 at 14:27:27:
: I have tried this question numerous times. I get stuck each time. Please have a go, I am really stuck[:)]
: If
: a= 6x
: ---
: 1+x^2
: and
: b = 2(1-x^2)
: -------
: 1+x^2
: Calculate the value of :
: a^2 b^2
: ---- + ----
: 9 4
: This comes out to 1
: 36x^2/[9(1+x^2)^2] + 4(1+x^2)^2/[4(1+x^2)^2]
:4x^2+(1-2x^2+x^4)/[(1+x^2)^2]
: (1+2x^2+x^4)/(1+2x^2+x^4) = 1