Question

What is (x^2 - 2xy + y^2) + (x^2 - 2xy + y^2)?

Answer 1

help or answer?

Answer 2

I think it might be \[x^2 + y^2\]

Answer 3

Well I'm pretty sure I know the answer but I wanna know if i did it right @themazinmathmaster

Answer 4

I'm just confused about exponent rules. When you add \[x^2 + x^2\] it equals \[x^2\] right? Or is it 2x^2 ?

Answer 5

@Preetha @thomaster

Answer 6

Nope just 2x^2 *in that example*

Answer 7

ok wait so

Answer 8

so wait can you help me with the equation?

Answer 9

this is what I did \[(x^2 - 2xy + y^2) + (x^2 - 2xy + y^2)\]

Answer 10

Sure :)

\[\large (x^2 - 2xy + y^2) + (x^2 - 2xy + y^2)\]

We dont need these parenthesis

\[\large x^2 - 2xy + y^2 + x^2 - 2xy + y^2\]

Answer 11

Oh okay yeah, show me what you did :)

Answer 12

ok so the 2xy's cancel out ofc

Answer 13

but then the x^2 + x^2 and the y^2 + y^2

Answer 14

what do you do with those?
are they turned into 2x^2 + 2y^2 like you said?

Answer 15

Are you sure about that?

Lets rearrange that whole equation

\[\large x^2 + x^2 - 2xy - 2xy + y^2 + y^2\]

What is -2xy - 2xy?

Answer 16

OHHH hahaha omg ok so it's -4xy right?

Answer 17

or do you have to add the exponents there too?

Answer 18

Lol no you had it right the first time :)

Remember, when we are adding...we never touch the exponents...just the base

example:
\[\large 1x^2 + 1x^2 = 2x^2\]

never touched the x^2 part

Answer 19

ok so instead I shoud've down x^2 + x^2 = 2x^2

Answer 20

*done

Answer 21

Correct

\[\large x^2 + x^2 - 2xy - 2xy + y^2 + y^2\]

\[\large 2x^2 - 4xy + 2y^2\]

right? :)

Answer 22

ya ok that makes sense. Sorry this was such a lame question, I'm a little rusty lol. Anyway thank you so much!! Really appreciate it

Answer 23

Lol no problem, we all have days :P