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# Adding polynomials

CCSS.Math:

## Video transcript

we're asked to simplify 5x squared plus 8x minus 3 plus 2x squared minus 7x plus 13x so really all we have to do is we have to combine like terms terms that have X raised to the same power and the first thing we can do we could actually get rid of this parenthesis right here because we have this whole expression and then we're adding it to this whole expression the parenthesis really don't change our order of operations here so just let me just rewrite it once without the parentheses so we have we have 5x squared my plus 8x plus 8x minus 3 plus 2x squared if this was a minus then we'd have to distribute the negative sign but it's not so plus 2x squared minus 7x plus 13x now let's just look at the different terms that have different degrees of X let's go start with the x squared terms so you have a 5x squared term here and you have a 2x squared term right there so 5 of something plus 2 of that same something is going to be 7 of that something so that's going to be 7x squared and then let's look at the X terms here so we have an 8x right there we have a minus 7x and then we have a plus 13 X so if you have 8 of something minus 7 of something you're just gonna have 1 of that something and then if you add 14 of that something more you're going to 15 so this is going to be plus 15 X 8x minus 7x I'm sorry you're going to 14x 8 minus 7 is 1 plus 13 is 14 plus 14x that's these three terms 8x minus 7x plus 13 X and then finally you have a negative 3 or minus 3 depending on how you want to view it and that's the only constant term you could imagine it's you could say it's x times X to the 0 but this it's a constant term it's not being multiplied by X and that's the only one there so minus 3 and we've simplified it as far as we can go we are done