Hi, can anyone help me figure out this problem? ((1/x^2+2x+1)-(1/x^2-2x+1))/(x+1)(x-1)

Question

anonymous · Answer

I'm assuming you want to simplify?
((1/x^2 + 2x + 1) - (1/x^2 - 2x + 1)) / (x-1)(x+1)
Reduce by subtracting the second quantity of the numerator from the first quantity of the numerator to:
4x/(x+1)(x-1)
or by multiplying out:
4x/(x^2 -1)

anonymous · Answer

yes simplify. where does the 4x come from?

anonymous · Answer

the 1/x^2 in the first term cancels the 1/x^2 in the second term.
the 1 in the first term cancels the 1 in the second term.
2x - (-2x) = 2x + 2x = 4x

anonymous · Answer

oh, thanks, for some reason i couldn't see that. you've been very helpful, thanks.