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Prove that any number of the form pq, where p and q are prime numbers greater than 2, can be written as the difference of two squares in exactly two distinct ways.

If we want to prove it, we need to prove every odd number can be expressed as the difference of two squares, which is very easy.

Suppose this odd number to be 2n-1, then we can see 2n-1=n...

SL
Answered by Shibo L. STEP tutor
7180 Views

What's the best way to revise for the Writing task of BMAT?

Here is a sample question from the writing task of the BMAT exam. 4. Parents who withhold vaccines from their children have betrayed their duty of care.How would you go about answering th...

SS
5328 Views

What skills are HAT examiners looking for?

The HAT's structure tells us a lot about Oxford's criteria for who they think will make excellent students. 10 marks are awarded for an exercise in boiling down the essence of a long paragraph to one succ...

GH
Answered by George H. HAT tutor
2791 Views

What is the examiner looking for and how do I get a good mark?

In truth, only your teacher can know due to Oxford's marking system which means that only qualified teachers have access to the marking scheme. However, what they are looking for is a well articulated ...

ST
Answered by Samuel T. ELAT tutor
3384 Views

What is the best way to prepare for the LNAT?

In my experience, the absolute best way to prepare for a test as unique as the LNAT is practice! The questions will become easier over time and the structure will make a lot more sense. 

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MW
Answered by Madeleine W. LNAT tutor
2382 Views

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