Question

Combine the like terms to simplify the expression:

5 + 7 + 15xy2 + 9y3 + 10x –13xy2 – 3x – 8y3

Answer 1

@iGreen

Answer 2

Do you know what like terms are?

Answer 3

Yes :P

Answer 4

Then simplify them..all you do is add or subtract them.

Answer 5

First list all of the like terms.

Answer 6

There is exponents....

Answer 7

\(5 + 7 + 15xy^2 + 9y^3 + 10x –13xy^2 – 3x – 8y^3\)

Like term pairs:

5 + 7

15xy^2 - 13xy^2

9y^3 - 8y^3

10x - 3x

Answer 8

Simplify all 4 of those.

Answer 9

Can you do that? @Raxxer

Answer 10

5 + 7 = 12

15xy^2 - 13xy^2 = 2xy^2

9y^3 - 8y^3 = y^3

10x - 3x = 7x

Answer 11

So we have: 12 + 2xy^2 + y^3 + 7x. Do you know how to put these in the correct order?

Answer 12

When you put it in order, you put in order of the greatest exponent.

12 = No exponent

2xy^2 = Exponent of 2

y^3 = Exponent of 3

7x = Exponent of 1

So the correct order is: y^3 + 2xy^2 + 7x + 12