Objective 18 Combine like terms. © 2002 by R. Villar All Rights Reserved. Combine like terms. + – +. By combining apples with apples and oranges with oranges, you get. +.
© 2002 by R. Villar
All Rights Reserved
+ – +
By combining apples with apples and oranges with oranges, you get...
like terms: terms with the same variable or variables, raised to the same power.
Like terms can be combined by adding their coefficients.
Example: What do you get when you add the fruit shown?
3 apples+ 2 oranges– 2 apples+ 2 oranges
Find the like terms, combine their coefficients...
2x+ 3y+ 5x + 6y+ 12
7x + 9y + 12
Example: Simplify –7xy2 – (–9xy2)
This is the same as –7xy2 + (9xy2)
Example: Simplify 3x – 3y – 8x – y
This is the same as 3x – 3y – 8x – 1y
= – 5x – 4y
Remember, like terms have the same variables raised to the same powers. Therefore, the like terms are as follows…
4 – 2x6y– 2xy–1x6y+ 4xy – 5
–1 – 3x6y+ 2xy
There are no other like terms in the expression, therefore the solution is–1 – 3x6y + 2xy