Question

i need a math genius here

Answer 1

Three things:
Try one part at a time...
You shouldn't post these questions or you should remove the "(points)"
My picture is awesome thank you very much.

Answer 2

Do you know what the area of a square is ?

Answer 3

Or a rectangle for that matter.

Answer 4

The product of the sides, yes. In the case of a square, the sides are equal and the area = side ^ 2. For rectangles, the sides are not equal and you have that area = length * width.

Answer 5

Anyway, in A you have a square that has a width and a length equal to n units.

Answer 6

The original Area = length * width = n*n = n^2.

In the A scenario, you increase the length and width with m units each, and so:

New Area = (length + m units) * (width + m units) = (m+n) * (m +n) = (m+n) ^2.

Answer 7

And so what they are actually asking is:
"yo, what's the difference between the original area (n^2) and the new area (m+n)^2"

Answer 8

Well, let's solve this sequentially then.

What's (m+n)^2 ? Symbolically of course, I'm not looking for a value or anything cause there is none.

Answer 9

Yup. Now "open" the brackets carefully.

Answer 10

It's a very important thing that you will memorize sooner or later.

In any case IT IS NOT a^2 + b^2.

Answer 11

I'm sorry for being a persistent wingspan, but if you understand how this step is solved, you'll have no problem with B,C and every other exercise of this sorts.

Answer 12

After you "open" the brackets in (m+n)^2 you will see that in that "opening" of yours the sum will contain n^2+something. That something can only be found opening the brackets.

Answer 13

What grade are you in ?

Answer 14

Alright, let's...uhm...I know.

Here, let me draw.