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Find the factors for
Solution:
Consider the given equation above
The given equation is also a trinomial where (x + y) is considered as a single variable. It is not a perfect trinomial square because the first and last terms are not perfect square. We can check the above equation using discriminant if it can be factored or not as follows
where a, b, and c are the coefficients of a trinomial. Now, let's check the given equation as follows
Since the value of discriminant is a whole number, then the given equation can be factored. Next, we have to think the factors of the last term so that we add the two factors, it will be the same as the middle term. The possible factors of the last term are 1, 2, -1 and -2. If the middle term is -3, then the factors must be -1 and -2. When you add -1 and -2, it will give us -3. Therefore, the factors of the above equation are
