Adding and subtracting rational espressions is a lot like adding and fractions B

Question

Adding and subtracting rational espressions is a lot like adding and fractions Before you can add or subtract the expressions, they must have a The easiest common denor so work with is the ledast Problem what is the tCD of x562rlandT. ? (x+2),(+2-1) Make a list of all the factors x+2)x.2-D Cross off any repeated factors When the only difference between factors is the exponent (like and x), cross off al but the factor with the greatest exponent x2.cx + 2),?(x-2).(x-1) 2x- Mheply dhe resthincebactons on the li Exercises Assume that the poly nomials given are the denominators of rational expressions. Find the LCD of each set. 1. x 3 and 2x +6 3. -4 and x+2 5. x+5 and x-25 7. x, 2x, and 4 2. 2x -1 and 3x +4 4+7x+12 andx+4 6.x and 6 8. +8x+16 and x+4 10. x-9 and +2x-3 9. +4x-5 and r- Pearson Texas Algebra I Copyright O by Pearson Education, Inc, or its affiates Al Rights R

Explanation / Answer

Since in all questions both expressions have common denominators 1, hence LCD for all questions is 1.

LCD

Ques. 1) both have same denominators , i.e. 1

              so LCD = 1

Ques. 2) both have same denominators , i.e. 1

              so LCD = 1

Ques. 3) both have same denominators , i.e. 1

              so LCD = 1

Ques. 4) both have same denominators , i.e. 1

              so LCD = 1

Ques. 5) LCD = 1

Ques. 6) LCD = 1

Ques. 7) LCD = 1

Ques. 8) LCD = 1

Ques. 9) LCD = 1

Ques. 10) LCD = 1

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