Well, I think you probably already got the pattern.

So the positive exponents, so you have a to the one, a squared, a cubed, a to the fourth.

So what is v1 dot v1?

So what happens if we take t, so some scalar, times our vector, times the vectors b minus a?

We could say a plus b times 3 is equal to 12.

So if we go from a to the first, which is just a, and divide by a, right, so we're just going to go we're just going to divide it by a.

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Do research where two models are competing against one another.

And I define the vector b to be equal to 0, 3.

It's vector b, so it's the vector 0, 3 plus t, times the vector b minus a.

The second one is always true.

And if the denominator is 4a squared, what does the minus c a become?

We multiplied by a, right? a squared is just a times a.

This guy says, you know what?

In this case, if we said 2a is equal to 8, a would be minus 4.

In the second question we apply total probability.

It's equal to 2x squared plus 7x plus 3.

Now, the big insight you need to have whenever you have an absolute value equation like this is to remember, if I have the absolute value of a is equal to 11 what do we know about a?

So I have just dividing both sides of this equation by a minus 1, I get s is equal to a to the n plus 1 minus 1 over a minus 1.

So this'll be a because I just distribute the a, right? a times a to the zero, plus a times a to the 1, plus a times a squared, plus all the way a times a to the n minus one, plus a times a to the n.

I want x squared minus 4x plus something to be equal to x minus a squared.

What does that mean?

And the A could be for Arcade

This is the same thing as the limit.

And remember I said 50 minutes was 5 6 of an hour, so the minutes it takes is a, that a, minus this.

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Just so you see that this works for all numbers. a, b, c, d.

Well, phi is equal to A over B, which is equal to A plus B over A we know that A plus B over A is the same thing as

And then, 54 minus 5 that is 49, and we're done.

It's a function of 2 variables A and B.

But let's see if we can still use that in some useful way.

And that equals well, that's just going to be a times this exact sum, right?

Which of the following could be simplified or removed without changing the result function platos_republic(a,b) Let's go through the lines 1 at a time. A times 1.

2x times b is plus 2bx. a times x is plus ax. a times b is plus ab.

And you can multiply it out, in case you're not sure.

So a plus b is going to be equal to that middle coefficient.

If you had a star regular expression a we could do the same thing the same effect of having zero or more a's with two rules.

And a cubed divided by a squared is an a.

And the numerator is going to be let me do it in a different color A.

So let's do that.

It's of the form a squared minus b squared, and we've seen this multiple times.

So if on the day she was late it took her a minus 1 hours to get passed by the train, what time are we talking about right here?

That if I multiply let me do this in this corner. a plus b times a minus b.

Let me write it down.

3 chairs, and I have 7 people.