EPQP's answer to .'s Junior College 2 H2 Maths Singapore question.
how did you get from the 3rd to 4th line
*of the 1st qns
You don't need to do what I did under exams condition as the use of GC is expected.
To solve it analytically, you can either
(1) use partial fractions decomposition for repeated linear roots 2t^2/(t+1)^3 = A/(t+1) + B/(t+1)^2 + C/(t+1)^3 or
(2) create necessary (t+1)^n forms like what I did here such that the numerator and denominator can cancel. In this case you need to create them for n = 1 and 2 since the numerator goes up to quadratic (reverse engineering the required terms).
The end result for either method is the same.
To solve it analytically, you can either
(1) use partial fractions decomposition for repeated linear roots 2t^2/(t+1)^3 = A/(t+1) + B/(t+1)^2 + C/(t+1)^3 or
(2) create necessary (t+1)^n forms like what I did here such that the numerator and denominator can cancel. In this case you need to create them for n = 1 and 2 since the numerator goes up to quadratic (reverse engineering the required terms).
The end result for either method is the same.
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