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Perfect square trinomial


A binomial of the form (a+b) can be squared to produce the identity:


Thus:

Similarly:


A trinomial having the special pattern indicated above, can be factored like the square of a binomial, for example, the trinomial

Can be factored if we note the first term is the square of a monomial:

Same situation happens with the third term:

We need to check if the second term is 2ab:

Since all is correct, then we can factor as