Hi Eric! Thanks so much for ur detailed explanations but may i ask how u simplified the y function until it became 3/2 + ... ?

I don’t quite understand how u did that because normally i would do long division, however, i can’t seem to do long division for this qns..

Good morning Sonia!

Yes, we do long division on the (3x - 7) / (2x + 1) expression as we would normally. The quotient is 3/2. The remainder, if you have done correctly, is -7 - 3/2 * 1 = -17/2. You still remember how to do long division from last year correct?

So basically we can do long division on the numbered expressions. Doing on the lettered one in the original question is possible, but the expression gets complicated.

After years of practising with long division and understanding the operations, I tend to be able to divide the expression the way I did in the question (without actually writing out the full division).

Sonia, I’m so sorry for making you confused with my workings!

No it’s totally fine! There’s no need to apologize, Thank you once again :-)