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

To add or subtract fractions with different denominators find the least common denominator (LCD), change each fraction so that it has that denominator then add or subtract 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 give each factor the highest power to which it occurs multiply the results Taken from

Find the LCD for y²-16 and y²-8y+16 Factor each write each factor give each highest exponent multiply results (y+4)(y-4) and (y-4) ² (y+4)(y-4) (y+4)(y-4) ² Taken from

Add : LCD = change each fraction to LCD add/subtract simplify Taken from

Add : LCD = change each fraction to LCD add/subtract simplify Taken from

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

If the denominators have opposite factors, then change one of them using the 3 signs of a fraction rule. Taken from

1) 2) 3) 4) Taken from

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

(y – 2) (y+2) -(y-2)(y+2)

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

Simplify the top and bottom: Use “tortilla method”