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Adding and subtracting polynomials with two variables review

Adding and subtracting polynomials is all about combining like terms. When the terms have two variables, it gets a little bit tricky to figure out which terms are like terms. In this article, we review some examples and give you a chance for you to practice the skill yourself.
Adding and subtracting polynomials is all about combining like terms. The polynomials in this article have two variables, which makes figuring out which terms are like terms a little more difficult.

Example 1

Simplify.
(7d35d3f33f3)(8d3+4d3f3+2f3)
Rewrite without parentheses:
7d35d3f33f38d34d3f32f3
Group like terms:
(7d38d3)+(5d3f34d3f3)+(3f32f3)
Simplify:
15d39d3f35f3

Example 2

Simplify.
(u2+5u2v+4uv2)(u2+5u2v2+4uv)
Rewrite without parentheses:
u2+5u2v+4uv2u25u2v24uv
Group like terms:
(u2u2)+5u2v+4uv25u2v24uv
Simplify:
5u2v2+5u2v+4uv24uv
Want to see another example? Check out this video.

Practice

Problem 1
Simplify.
(2x4+7x2y7)+(9x3+7xy+7)

Want more practice? Check out this exercise.

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