# Operations with Polynomials

**Definition:**

Like Terms : like terms have the same variable-exponent combination

**Examples of like terms :**

**Examples of unlike terms :**

**Like terms are added and subtracted by adding or
subtracting the coefficients .**

Example: 3A+ 4A = 7A (think: 3 Apples + 4 Apples = 7
Apples)

Example: 12C − 9C = 3C (think: 12 Carrots – 9 Carrots = 3 Carrots)

Example: 7A+ 6O = 7A+ 6O (think: 7 Apples + 6 Oranges = 7 Apples + 6 Oranges,
you can’t

add apples and oranges)

Example: 7A+ 8O+14 + 6A+ (−6) − 3O =13A+ 5O+ 8

**You do not need like terms to perform multiplication or
division . The coefficients are
multiplied ( or divided ). When multiplying, the exponents of variables are added .
When
dividing , the exponents of variables are subtracted.**

Example: 5(6x^2 − 7 y) = 30x^2 −35y (the 5 multiplies each
term in the parentheses , this is known

as the ** distributive property **)

**Example:**

**Example:**

**Example:**

**In 1-20, perform the indicated operations .**

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