FP2 Chapter 2 – Method of Differences
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STARTER – Round 1!
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STARTER – Round 2!
Bro Hint: Perhaps write out the first few terms?
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Example
Carefully look at the pattern of cancelling. The second term in each pair is cancelled out by the first term in the previous pair.
Thus in the last pair the first term won’t have been cancelled out. While not essential, I like to put brackets around pairs to see the exact matchings more easily.
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Partial Fraction Example
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Test Your Understanding
FP2 June 2013 Q1
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We can see the second term of each pair is cancelled out by the first term of two pairs later. This means the first term of the first two pairs won’t be cancelled, and the second term of the last two pairs won’t cancel.
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Test Your Understanding
FP2 June 2013 (R) Q3
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Exercise 2
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Then move on to provided exam questions
(the textbook here is pretty inadequate preparation for the exam, as it barely practices cancelling between non-adjacent pairs – i.e. most exam questions!)
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