Before adding or subtracting fractions factor the denominator. Once the denominator is factored you can determine the LCD.
Examples
From the first
fraction we see that the LCD needs x – 4 and x + 1 as factors. From the second
fraction we see that the LCD needs x – 1 and x + 1, but x + 1 has been
accounted for by the first fraction. The LCD is (x – 4)(x – 1)(x + 1).
Practice
Find the LCD.
Solutions
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