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We're asked to simplify 5x squared plus 8x minus 3 plus

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2x squared minus 7x plus 13x.

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So really, all we have to do is we have to combine like

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terms-- terms that have x raised to the same power.

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And the first thing we can do, we can actually get rid of

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these parentheses right here, because we have this whole

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expression, and then we're adding it to this whole

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expression.

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The parentheses really don't change our order

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of operations here.

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So let me just rewrite it once without the parentheses.

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So we have 5x squared plus 8x minus 3 plus 2x squared.

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If this was a minus then we'd have to distribute the

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negative sign, but it's not.

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So plus 2x squared minus 7x plus 13x.

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Now let's just look at the different terms that have

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different degrees of x.

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Let's start with the x squared terms. So you have a 5x

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squared term here and you have a 2x squared term right there.

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So 5 of something plus 2 of that same something is going

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to be 7 of that something.

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So that's going to be 7x squared.

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And then let's look at the x terms here.

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So we have an 8x right there.

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We have a minus 7x.

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And then we have a plus 13x.

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So if you have 8 of something minus 7 of something, you're

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just going to have 1 of that something.

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And then if you add 14 of that something more,

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you're going to 15.

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So this is going to be plus 15x.

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8x minus 7x-- oh, sorry.

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You're going to have 14x.

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8 minus 7 is 1 plus 13 is 14.

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Plus 14x.

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That's these three terms. 8x minus 7x plus 13x.

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And then finally, you have a negative 3-- or minus 3,

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depending on how you want to view it.

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And that's the only constant term.

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You could say it's x times x to the 0.

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But it's a constant term.

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It's not be multiplied by x.

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And that's the only one there, so minus 3.

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And we've simplified it as far as we can go.

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We are done.

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