ʕ•ᴥ•ʔ Adding or Subtracting Polynomials in Algebra

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Adding polynomials is basically combining the like terms together. Like terms are the terms with the same variables and degree. Subtracting polynomials is very similar to that, but you will need to reverse the sign of each term to get rid of the like terms.

Hi, welcome to this question right here. So, we're trying to subtract these polynomials right here. So, again, you have to check what's in the bracket first.

There's nothing you can do across here. There's nothing you can do inside this bracket here as well. So, you have to go to the next step which is the exponents.

There's no exponents, then you go to the next step. Now, the first one right here, there's nothing you can do with the outside anyway. Because there's a one right here, typically. But nothing happens. So, since there's nothing you can do about it, you're just gonna copy down the very first bracket down.

Now, that means you have to drop the brackets because there's nothing that we're gonna to do, right? The next part is. . .This is a tricky question. It's a minus sign. So, you're subtracting it out of the bracket. I'm gonna just tell you the shortcut.

The shortcut is, if you have a subtraction, of the bracket behind it, what you do is you reverse all the signs. Or flip your signs, meaning that find the opposite signs of that expression here. So, the 3x square right here that I'm looking at right now is positive. Guess what happens to it, it comes negative. That's a negative x right there, becomes positive. That's a negative eight, becomes positive eight, okay?

So, that's it. And that's the end of your question. Actually, if you can collect the like terms, that will be great. Negative two, negative three, because these guys are like terms, right? So, when you get a negative two and a negative three, you just slide them together, you get yourself a negative 5x square, okay?

Okay, here we go. Now, what's the next like that you see. I see an x and an x, okay? So, that's a negative six and that's a plus one, negative six plus one, put them together, you get yourself a negative 5x right here. The very last one is a three plus an eight, so, eight plus three, you get yourself an 11, okay? And this is your final answer for this question. Thanks for watching.

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