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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. +.

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objective 18 combine like terms

Objective 18Combine like terms

© 2002 by R. Villar

All Rights Reserved

slide2

Combine like terms

+ – +

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

coefficients

1 apple

+4 oranges

slide3

Example: Simplify 2x + 3y + 5x + 6y + 12

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)

= 2xy2

Example: Simplify 3x – 3y – 8x – y

This is the same as 3x – 3y – 8x – 1y

= – 5x – 4y

slide4

Example: Simplify 4 – 2x6y – 2xy –x6y + 4xy – 5

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