Question

Simplify the following expression.
7y + 2x - 10y + 3x2 - 10x.

Answer 1

combine like terms. for example: 7y-10y=-3y. Finish this simplification, please.

Answer 2

2x-3x2-10x

Answer 3

7y+10y?

Answer 4

7y + 2x - 10y + 3x2 - 10x is all one expression. Your task is to simplify it, to obtain just one (not two) re-written expression.

Group x terms together and group y terms together:

7y - 10y + 3x2 - 10x + 2x

Combine the first two terms.

What have you then?

Answer 5

7y-10y

Answer 6

=-3y?

Answer 7

"simplify the expression" does not mean omitting x terms from the expression.

Type 7y - 10y + 3x2 - 10x + 2x again, but combine the first two terms. Do NOT discard/omit any terms.

Answer 8

7y-10y+3x2-10x+2x

Answer 9

i'm sorry i am having trouble.

Answer 10

Combine the first two terms (the y terms):

7y - 10y + 3x2 - 10x + 2x becomes
-3y + 3x2 - 10x + 2x

Now combine the last two terms (the x terms).

Answer 11

what do i do with the 3x2?

Answer 12

Leave it where it is. Again, please combine the last two terms.

Answer 13

Note how 7y - 10y combine to produce -3y.
Similarly, - 10x + 2x combine to produce what?

Answer 14

12x

Answer 15

Note that the signs are different:

-10x
+ 2x
-----

??

Answer 16

-8

Answer 17

-8x

Answer 18

Yes.
So, what is the final, simplified expression?

In other words, -3y + 3x2 - 10x + 2x

becomes what?

Answer 19

-3y+3x2-8x

Answer 20

Great. What we have done has been to simplify the given expression,
7y + 2x - 10y + 3x2 - 10x.

We did that by re-arranging terms (first) and then by combining "like" terms.