WEBVTT

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- Which expressions are equivalent

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to x plus two-y plus x plus two?

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Select all that apply. Alright.

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Let's see if I can manipulate
this thing a little bit.

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Let me just rewrite it so I have x plus...

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x plus two-y plus x plus two.

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So, the first thing that jumps out at me,

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before I even look at these choices,

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here I have an x over here,
I have an x over there.

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Well, if I have one x, and
then I can add it to another x

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that would be two-x so
I could rewrite this...

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let me do this in a different color.

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I could rewrite this x and this x,

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if I add them together
that's going to be two-x.

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So, this is...actually, I
don't want to skip any steps.

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So, that's x plus x plus two-y...

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now I'm just switching
the order...plus two.

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And then these two x's right over here,

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I can just rewrite that as two-x.

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So, I have two-x plus two-y...

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plus two-y plus two.

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Now, let's see, out of all my choices...

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so, this one,

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this is two-x plus four-y plus four.

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So, that's not right, I have
two-x plus two-y plus 2,

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so I can rule this one out.

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Now, this one's interesting, it looks like

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they have factored out a two.

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Let's see if we factor out
a two here, what happens?

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So, we do see that two
is a factor of that term,

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it's a factor of that term,
and it's a factor of that term.

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So, let's see if we can factor it out.

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So, this is going to be two times x,

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I'll do the x in that same
magenta color, two times x plus,

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we have just a y left when
you factor out the two.

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And then if you factor out a two here,

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you're just going to have a one left.

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So, two times x plus y plus one.

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Which is exactly what they have over here.

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And since I was able to find a choice,

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I will not pick "None of the above".