simplify:(2x-3)(x-1)-(x+2)^2 Factor :2x^5y-32xy Factor: 2x^3+2x^2-24x Factor: 2x^3-x^3-3x

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The easiest way for me to factor things is to first pull out everything that is in common. In your first factoring problem you have a 2 and an x and a y in both terms, so you can pull out a 2xy. 2(x^5)y - 32xy --> 2xy*(x^4-16) Once that's done we can look for any tricks for factoring that we've learned. This one has a difference of squares in parentheses, which we know we can factor using the square roots of the terms --> 2xy*(x^2+4)*(x^2-4) The rest can be solved similarly.