Find the sum, difference, or product.$$3(x-1)+4(x+2)$$

Find the sum, difference, or product. $$ 3(x-1)+4(x+2) $$

Looking at this expression, we have to polynomial separated by subtraction, son. So we will be subtracting polynomial. What we'll do first is we will take our first expression just out of the parentheses. So we have X cubed plus six X squared minus four X plus seven. Next, we're going to take that minus or subtraction, son, and distribute it to every term in the second set of parentheses.

So when you distribute it to that first term that will become minus three x squared, distribute it to the next term will be minus two X and then distributing it to the last term. That's a minus minus four. So that's gonna be plus for now will combine like terms. So I have an ex cute and there's no other ex cubes in this expression, so it doesn't have anything to combine with. So we have X cubed, and I like to mark them out.

So I know that I have try to at least combined them. Next we have six x squared and we go along, find that we have a minus three x squared, so well, actually subtract the coefficients, which is gonna make that a plus three x squared. When you're combining like terms, you don't change the exponents of the variable. Next, let's mark those out. We have minus forex and looking for another X.

We have a minus two X. When we combine that that is minus six X, there will mark those out. Now we have plus seven and plus four, which is plus 11. So we subtracted and this is our final answer..

Let's simplify this expression. This expression has X squared directly in front of the Princes X plus three. There is not a plus or minus sign right there, so that means will be multiplying to find the product of the pollen. Mobiles in this case will take X squared and multiply it by X first. And when you're multiplying variables, you simply add the exponents.

This one hasn't understood one, so X squared Times X would be execute. Next will take that X squared and multiply it by three, and that will simply be three x squared..

This is an example of a mono mule times Atran Amiel. What we'll do is take the mono mule and multiply it by each term of the try. No meal X squared times two X squared is two x to the fourth and then x squared times and negative x Negative X cute, X squared times one is just X squared. All of the exponents of the exes are different, so we can't combine any terms. So this is the simplified form..

So the question wants us to find the some of the following algebraic expression. And so what we have to do is we have toe combine like terms. So we need to combine all the X squared terms, all the X terms and all the constants together. So when we simplify this, our equation will look something like this. It will have minus two x squared plus three x squared for the this is the X squared term plus minus three x plus five x plus.

Now all the constants one minus. For now that we have this, we can simplify each of these terms. So here will just be left with X squared here will be left with two X and here will be left with negative three. So this is our final algebraic expression with simplified version of this other great expression.