Question

(x+y)^2 - (9xy- 6x^2)

Answer 1

you want to expand (x+y)^2 first. what do you get when you expand it?

Answer 2

you can use the form \[a^2+2ab+b^2 \] to expand it.

Answer 3

X^2 +XY+XY+Y^2

Answer 4

and what is xy + xy?

Answer 5

X^2Y^2

Answer 6

not quite... you have 2 groups of the same variables multiplied to each other (xy) +(xy) how many of these groups are there?

Answer 7

XY^2

Answer 8

we're not squaring them , theyre not mutiplied, we're adding these groups together, adding them would give you 2 groups, yes?

Answer 9

how?

Answer 10

because we have 1 GROUP if terms (xy) and another GROUP of terms (xy) together adding these we get 2xy

Answer 11

oh, okay. I understand now

Answer 12

awesome :)

Now we have

x^2+2xy+y^2 - (9xy - 6x^2)

we simplified the left side, but in simplifying the right, what would we get once we distribute the negative?

Answer 13

distribute the negative to both (9xy) and (-6x^2)