When the +, - signs of factors are extremely close and you think something should cross out, you could be looking at opposite sign binomials. They are the same binomial except for one has been multiplied by -1. If you factor out the negative 1 and possibly re-arrange the terms to make the factors more clearly the same, they can be canceled from top and bottom of a fraction. Be extremely precise with the +, - signs, though- it is very easy to make a mistake on these!
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