Question

1.(x+y) (x-y)= --------

a)(x+y)²
b) (x-y)²
c) x²+y²
d) x²-y²​

Answer 1

Step-by-step explanation:

What is the answer to (x+y)+(x-y)?

A really interesting (and challenging) question.

Challenging not because it's difficult, but because it caused me to consider what I might be missing; what hidden subtleties might be staring me in the face!

(x+y)+(x-y)

Step 1. Let's get rid of the brackets (largely because they add little to the expression!).

x + y + x - y

Step 2. Lets bring all like terms together (seems a common-sense thing to do after all!).

x + x + y - y •••• Expression 1.

Step 3. Simplify Expression 1

2x•••• Exression 2.

Step 4. Is thee a subtlety I'm missing?

Possibly!

The question is:

“What is the answer to (x+y)+(x-y)?”

Firstly we cannot get a value for either x or y, because this expression as written is not equal to anything.

Therefore we cannot “get an answer" in the conventional mathematical sense.

Secondly if we cannot get an answer, all we can do is simplify it.

If that is our intent then the Expression simplifies to 2x.

Thirdly we have made an assumption that x and y are Real Numbers.

Does it matter if they are not Real Numbers? Probably not, but I don't really want to open that Pandoras Box.

So what is the “answer"?

I'll settle for 2x

$\huge\color{cyan}\boxed{\colorbox{black}{✿PLS FOLLOW✿}}$

Answer 2

Answer:

✡x²-y²☑

Step-by-step explanation:

(x+y) (x-y)

x(x+y) -y(x+y)

x²+xy-xy-y²

x²-y²

Also this question is a identity for solving other question.

✡x²-y²=(x+y) (x-y)

✅Hence, option (d) x²-y² is correct answer.

Hope this is helpful to you!