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Basic Algebra

It's most likely because it's really late but can somebody show how these two are equal ?

confused.jpg

Just realised. Oh God that was basic.
I reckon I need some rest.
(edited 11 years ago)
Sorry, how come? I always get stuck on these types of question :biggrin:
Reply 2
Original post by blueconstellation
Sorry, how come? I always get stuck on these types of question :biggrin:


Well, if you add and subtract x in the numerator of the LHS, you get the (-x)/(1+x2), and what's leftover reduces to x(x2+1)/(1+x2)

There are probably simpler ways to do it, but that was the first method I saw.
Original post by blueconstellation
Sorry, how come? I always get stuck on these types of question :biggrin:


Could put the right-hand side under a common denominator so you can minus the two.

xx1+x2x-\frac{x}{1+x^2}

x(1+x2)1+x2\frac{x(1+x^2)}{1+x^2}-x1+x2\frac{x}{1+x^2}

x(1+x2)x1+x2\frac{x(1+x^2)-x}{1+x^2}

x31+x2\frac{x^3}{1+x^2}
Thanks!

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