My name is Melissa and I am a student. I would like you to help me factor (x^{ 6}y^{ 6}) & (a+b)^{2}+3(a+b)4 Thank You Hi Melissa,A large part of algebra is recognizing patterns. Much like hearing the first bar of a song and recognizing that it's Metallica playing ... or looking at a diagram and seeing part of it as a right triangle. For your first problem (x^{ 6}y^{ 6}) the key is to see it, not as a difference of two sixths powers but as a difference of two squares. That is to see it as where p = x^{3} and q = y^{3} Factor this as a difference of squares and you will have two factors, one which is a difference of cubes and the other a sum of cubes. These you should also recognize and be able to factor. Your second problem, is similar in that you need to see the pattern where x = a+b. Factor x^{2}+3x4 and substitute a+b for x. Cheers,Penny
