Question 107867
{{{p^2-2p-3rp+6r}}} Start with the given expression



{{{p^2-2p+-3rp+6r}}} Rewrite -3rp as + -3rp. Remember adding a negative is the same as subtracting



{{{(p^2-2p)+(-3rp+6r)}}} Group like terms



{{{p(p-2)+(-3rp+6r)}}} Factor out the GCF p out of the first group



{{{p(p-2)-3r(p-2)}}} Factor out the GCF -3r out of the second group



Notice how we have a common factor of p-2, so we can now combine like terms



{{{(p-3r)(p-2)}}} Combine like terms



Notice how {{{(p-3r)(p-2)}}} foils back to {{{p^2-2p-3rp+6r}}}. So this verifies our answer



note: you made an error on your second step. When you factor out a negative 1 you should get {{{(p^2-2p)-1(3rp-6r)}}} not {{{(p^2-2p)-1(3rp+6r)}}}.