Combining Like Terms
For example: 7x, 10x, and -2x are like terms.
3x2y, -5x2y and 13x2y are like terms.
Now we can combine like terms by adding or subtracting them.
For example: -15a + 7a + 6b – 3a + 8a – 20b
Combining like terms we get,
(-15 + 7 – 3 + 8)a + (6 – 20)b
8a – 14b
Some facts about like terms:
- 2 × a is the same as 2a and is easier to write it as “2a” when we simplify an expression.
- 1 × b is the same as b.
Simplify the given expressions:
- 21 + 24r – 71 – 9r
- 13x + 5y – 8x – 12y + 20
- 5a – 15b + 20a + 18b + 3
- -2xy2 + 5xy + 7xy2 – 15xy + 20
- 20a2b + 30a – 7b – 10a2b – 12a – 3b
- 15r – 50
- 5x – 7y + 20
- 25a + 3b + 3
- 5xy2 – 10xy + 20
- 10a2b + 18a – 10b
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