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Please help

May you help me?
Please?????

Ok

So Sean's figure would be c^2, and Gina's figure would be (a+b)^2.

Ok those are the areas of the big shape that contains all the small shapes for each

Now find the areas of the smaller shapes inside the big shapes

Ok.

The square in Gina's figue would be c^2, and the triangles in Gina's figure will be 1/2 ab.

and there are four of those triangles right?

And there are 4 triangles in Gina's figure so it would be 2 ab.

\[bigger area=the \small \square+the triangles \]

Yep yep :)
So we have
\[(a+b)^2=c^2+2ab \text{ right?}\]

For gina's

Now expand (a+b)^2 by writing (a+b)(a+b) and then distributing (or multiplying)

Ok yep you are right gina messed up there :)

Ok now looking at sean's

you said the area of big square is c^2 right?

now lets find the areas of the smaller shapes that are contained in this big square

Of the bigger square, yes.

Ok

the area of the small square is?

a-b^2

(a-b)^2 is right

(a-b)(a-b) ?

right (a-b)^2=(a-b)(a-b) :)

1/2 *ab right?

Yes... I forgot the 1/2 part... whoops. Thanks for helping me remember that! :)

\[c^2=4 \cdot \frac{1}{2} \cdot ab+(a-b)^2\]

c^2 = 2ab + (a-b)(a-b)
c^2 =2ab+ a^2 -ab-ab+b

mean because -ab-ab=-2ab and so you have
c^2=2ab+a^2-2ab+b^2

no... he's not correct, because he didn't have the a^2, or the negative sign in front of 2ab.

Hmmm then I must be looking at something different

Are you sure? look again.

The ordering he has is a little different

Ohhh..... whoops.

Ok, then he's right. I just didn't see it correctly.... Thanks!!!

:)
So how do you feel about this question?
Do you understand it better?

Yes. Thank you so very much!!!!!

:)

Np. Have a great day.

You too!