Thread: expanding binomials

Promise no more questions today! ^_^

The reason I'm stuck on these is because I've completely forgotten what im doing, after returning to these from months ago.

I need to:

1) Express in the form where "a" and "b" are the numbers to be found.

This is what I've got thus far:







Then I need to plot for the original equation. Not alot

2) Expand the following using Pascal's Triangle



I could manage the expansion but not sure how to go about this one.

Thanks

Hello,

Originally Posted by Nick87

Promise no more questions today! ^_^

The reason I'm stuck on these is because I've completely forgotten what im doing, after returning to these from months ago.

I need to:

1) Express in the form where "a" and "b" are the numbers to be found.

This is what I've got thus far:







Then I need to plot for the original equation. Not alot

Sorry if I misunderstood what you've said, but you got it

2) Expand the following using Pascal's Triangle



I could manage the expansion but not sure how to go about this one.

Thanks

So you know the formula for

It's the same for



Where

So for the first one and ?

It says to use my answer to sketch the graph of so what does that mean? Can't I just draw the graph like usual?

Originally Posted by Nick87

So for the first one and ?

It says to use my answer to sketch the graph of so what does that mean? Can't I just draw the graph like usual?

Erm...



--> and

To graph the thing, represent yourself :

- you know how to graph y=x²
- imagine that if you add a certain number to x, it's like translating to the right or the left the graph
- adding a constant (here, b) is like increasing or decreasing the curve, that is to say "go up or go down", because you add b to the ordinate of each point

Originally Posted by Moo

Erm...



--> and

*Slaps self* of course its -1!

So what I need to do now is plot the orignal graph but with the translation ?

Originally Posted by Nick87

*Slaps self* of course its -1!

So what I need to do now is plot the orignal graph but with the translation ?

Yep !
I have an hesitation, perhaps it's -a. Check on the graph which one it is

Thank you so much for all your help!