Posted by **Samantha** on Tuesday, September 8, 2009 at 8:18pm.

Lately I just have blacked out in my algebra 1 class. Here's a equation on my worksheet, and I would be happy if you could show in steps how you got your answer. Thank you.

(2x²+5x+3)-(x²+2x+1)

- Algebra 1 -
**Reiny**, Tuesday, September 8, 2009 at 8:22pm
this is not an equation, it probably says to "simplify" it.

(2x²+5x+3)-(x²+2x+1)

how about pretending to see it as :

1(2x²+5x+3)-1(x²+2x+1) , then

= 2x²+5x+3-x²-2x-1

= x²+3x+2

- Algebra 1 -
**Samantha**, Tuesday, September 8, 2009 at 8:30pm
Yes it does say simplify it, I'm sorry. I understand how you got that, but what if I had something like this.

4x-2xy+3x²+y+5xy+x²y

- Algebra 1 -
**MathMate**, Tuesday, September 8, 2009 at 8:59pm
You start by ordering the terms. The priority of ordering is

1. name of variable in alphabetical order.

For example, put 2xy before y²

2. power of variable in descending order.

Example: x²y is placed before xy²

3. The constant term will be placed at the end.

After that, you would have collected like terms together. Add/subtract like terms. For example, 2x²y + 4x²y = 6x²y.

For 4x-2xy+3x²+y+5xy+x²y

Ordering gives

3x² + x²y + 4x + 5xy - 2xy + y

Add like terms, if any (5xy-2xy=3xy)

3x² + x²y + 4x + 3xy + y

That is all you can do. You cannot add/subtract unlike terms.

x²y and -2yx² are like terms.

xy and 3x² are unlike terms.

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