Adding and subtracting rational expressions: To add or subtract rational expressions use the addition property: Taken from

If the expressions have the same (common) denominator, add or subtract the numerators, keep the same denominator, and simplify the result. Taken from

Do the operations and simplify the result: Taken from

=1 Taken from

= 9 Taken from

Opposite Factors as Denominators: Multiply top and bottom by (-1)

To + or – with different denominators find the least common denominator (LCD), change each fraction so that it has that denominator, then + or – the numerators. The LCD is your denominator. Simplify your answer. Simply stated, the LCD is the least number (expression) that all denominators will divide into evenly. Taken from

To find the LCD factor each denominator write the different factors present in each denominator These factors make up your LCD Ask: What does the other denominator have that this denominator needs in order to match? What is missing? Taken from

Find the LCD for (y² -16) & (y² - 8y + 16) (y + 4)(y - 4) & (y - 4)(y - 4) LCD: (y + 4)(y - 4)(y - 4) Taken from Only in the 1 st In the 1 st & 2 nd Only in the 2 nd

Find the LCD. Then, find the answer Taken from

Add : LCD = change each fraction to LCD add/subtract numerator Simplify with denominator Taken from

Add : LCD = change each fraction to LCD add/subtract numerator Simplify with denominator Taken from

Add : LCD = change each fraction to LCD add/subtract numerator Simplify with denominator (Top isn’t factorable) Taken from

1. LCD: (x – 9)

Taken from 2. (x+3) (x-2) (x+3) (x-5) (x-5) (x-2) (x – 5) (x – 2) (x + 3)

(y + 2) (y – 2) (y + 2) (y – 2) 3. (2 – y)(2 + y) – (-2 + y)

LCM: (x-1) (x+1) (x+1) Taken from 4. (x-1) (x-1) (x+1) (x+1) (x+1)