How To Add Fractions Then Simplify Them

so let's get some practicesimplifying polynomials, especially in thecase where we have more than onevariable over here. so i have 4x squared yminus 3x squared minus 2y. so that entire expressionplus the entire expression

How To Add Fractions Then Simplify Them, 8xy minus 3x squaredplus 2x squared y plus 4. so the first thingthat jumps out at me is that i'm just adding thisexpression to this expression. so to a large degree, theseparentheses don't matter.

so i can just rewrite it as4x squared y minus 3x squared minus 2y plus 8xy minus3x squared plus 2x squared y plus 4. now we can try to groupsimilar terms or like terms. so let's think aboutwhat we have over here. so this first term righthere is a 4x squared y. so can i add this to anyof the other terms here? do we have any otherx squared y terms? well, sure, thisone right over here

is another x squared y term. if i have 4 ofsomething-- in this case, i have 4x squared y's andi add 2x squared y's to it, how many x squaredy's do i now have? well, 4 plus 2-- i nowhave 6x squared y's. now let's move on to this term. so i have negative 3x squareds. do i have any more xsquareds in this expression right over here?

well, sure, i have anothernegative 3x squared. so if i have negative3 of something and then i have another negative3, i end up with negative 6 of that thing. so it's negative 6x squared. now let's think aboutthis negative 2y term. are there any othery's over here? well, it doesn'tlook like there are. this is an 8xy.

this is a 4. there's no just y's. so i can't reallyadd that to anything. so i'll just rewriteit, negative 2y. and then 8xy--well, once again, it doesn't seem like that canbe added to anything else. so let's just writethat over again. and then finally, we justhave the constant term plus 4. and it pretty muchlooks like we're done.

we have simplifiedthis as much as we can.