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Adding and subtracting polynomials review

Adding and subtracting polynomials is all about combining 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 an exercise in combining like terms. Let's walk through some examples.

Example 1

Simplify.
(5h38h)+(2h3h22h)
Rewrite without parentheses:
5h38h2h3h22h
Group like terms:
(5h32h3)h2+(8h2h)
Simplify:
3h3h210h
Want to see another example? Check out this video.

Example 2

Simplify.
(w3+8w23w)(4w2+5w7)
Rewrite without parentheses (being careful to distribute the negative):
w3+8w23w4w25w+7
Group like terms:
w3+(8w24w2)+(3w5w)+7
Simplify:
w3+4w28w+7
Want to see another example? Check out this video.

Example 3

Express E+F as a trinomial.
E=6c22c1F=4c2+7c+5
E+F=(6c22c1)+(4c2+7c+5)
Rewrite without parentheses and color code like terms:
6c22c14c2+7c+5
Group like terms:
(64)c2+(2+7)c+(1+5)
Simplify:
2c2+5c+4
Want to see another example? Check out this video.

Practice

Problem 1
Simplify.
(3y25y2)+(7y2+5y+2)

Want more practice? Check out these exercises:

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