Which expressions have like terms

(1) 7r + 5 + 3r

(2) -17m³ + 3 - 2 + m³

Explanation

Strategy

First, we will identify the terms of the expression. Then we will look for terms that contain the same variables raised to exactly the same powers.

WHY

If two terms contain the same variables raised to the same powers, they are
like terms.
Solution

1. 7r + 5 + 3r
   • contains the like terms 7r and 3r.
2. 6x⁴ - 5x² - 6x
   • Since the exponents on x are different, 6x⁴ - 5x² - 6x contains no like terms.
3. -17m³ + 3 - 2 + m³
   • contains two pairs of like terms: -17m³ and m³ are like terms, and the constant terms, 3 and -2, are like terms.