1 / 5

Finding Least Common Denominators of Rational Expressions

Learn how to find the LCD of rational expressions step by step with examples and solutions. Practice and master this essential concept in math.

milek
Télécharger la présentation

Finding Least Common Denominators of Rational Expressions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. a. , 1 1 4r 4r r + 3 r + 3 4r = 22r 10r2 10r2 LCM = 2 r2 5 r= 20r2 10r2 = 25rr ANSWER The LCD of and is 20r2. EXAMPLE 2 Find the LCD of rational expressions Find the LCD of the rational expressions. SOLUTION a. Find the least common multiple (LCM) of 4rand 10r2. The common factors are circled.

  2. 3x + 4 3x + 4 5 5 b. Find the least common multiple (LCM) of (x – 3)2 b. , x2 – x – 6 x2 – x – 6 (x – 3)2 (x – 3)2 and x2 – x – 6. (x – 3)2 = (x – 3)(x – 3) x2 – x – 6 = (x – 3)(x + 2) LCM = (x – 3)(x – 3) (x + 2)= (x – 3)2(x + 2) ANSWER The LCD of and is (x – 3)2(x + 2). EXAMPLE 2 Find the LCD of rational expressions Find the LCD of the rational expressions. SOLUTION

  3. c. Find the least common multiple ofc – 2and2c + 7. c + 8 c + 8 3 3 Because c – 2 and 2c + 7 cannot be factored, they don’t have any factors in common. The least common multiple is their product, (c – 2)(2c + 7). c. , 2c + 7 2c + 7 c – 2 c – 2 ANSWER The LCD of and is (c – 2)(2c + 7). EXAMPLE 2 Find the LCD of rational expressions Find the LCD of the rational expressions. SOLUTION

  4. 1 1 m + 1 m + 1 3. , 4. , 28m 28m 7m3 7m3 2 2 x2 +2 x2 +2 x2 + 4x – 5 x2 + 4x – 5 x2 + 7x + 10 x2 + 7x + 10 ANSWER ANSWER The LCD of and is 28m3. The LCD of and is (x +5)(x – 1)(x + 2). for Example 2 GUIDED PRACTICE Find the LCD of the rational expressions.

  5. a + 6 a + 6 5a 5a a – 4 a – 4 a + 3 a + 3 5. , ANSWER The LCD of and is (a +3)(a – 4). for Example 2 GUIDED PRACTICE Find the LCD of the rational expressions.

More Related