![]() ![]() In earlier modules we have seen the two identities referred to as perfect squares:Ī 2 + 2 ab + b 2 = ( a + b) 2 and a 2 − 2 ab + b 2 = ( a − b) 2. The method of completing the square works in every case, including the situation in which the factor method applies. In the early stages, students will need to be told when to apply which method.With experience, they will use completing the square whenever they cannot see how to apply the factor method shown above. This is an important technique that will appear in other settings and so is a basic skill that students who intend to proceed to senior mathematics need to master.
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