8-2 Skills Practice. Adding and Subtracting Rational Expressions. Find the LCM of each set of polynomials. 1. 12c, 6c2d. 2. 18a3bc2, 24b2c2. 3. 2x - 6...

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DATE

8-2

PERIOD

Skills Practice Adding and Subtracting Rational Expressions

Find the LCM of each set of polynomials.

12c2d

1. 12c, 6c2d

2. 18a3bc2, 24b2c2

72a3b2c2

3. 2x - 6, x - 3 2(x - 3)

4. 5a, a - 1

5. t2 - 25, t + 5 (t + 5)(t - 5)

6. x2 - 3x - 4, x + 1 (x - 4)(x + 1)

5a(a - 1)

Simplify each expression. 8p r

2c + 5 2c - 7 9. − +4 − 3 3

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5y

5yz

2 3 13. − -− a+2

2a

a-6 − 2a(a + 2)

3 2 15. − -− 2 w-3

w -9

k k 17. − -− k-n

n-k

3w + 7 (w - 3)(w + 3)

−

2k − k-n

1 x 19. − +− 2 x + 2x + 1

x+1

2n + 2 n 21. − + − 2 n-3

n - 2n - 3

x2 + x + 1 − (x + 1)2

7h + 3g 4gh

7 3 12. − +− 2 4gh

− 2

4h

5 2 14. − -−

15bd - 6b - 2d − 3bd(3b + d)

3t 5 16. − +−

5 - 3t −

z+4 4z 18. − +−

5z2 + 4z - 16 − (z - 4)(z + 1)

3b + d

2-x

z-4

3bd

x-2

z+1

x-2

2x + 1 4 20. − - − 2 x-5

x - 3x - 10

2x2 + 5x - 2 (x - 5)(x + 2)

−

3 2 22. − - − 2 2 y + y - 12

n+2 n-3

y + 6y + 8

y +12 (y + 4)(y - 3)(y + 2)

−

Chapter 8

2 + 5m2 mp

− 2

mp

− 2

8p r

4p r

2 5 10. − +− 2 p

12z - 2y 5y z

12 2 11. − -− 2

13 − 2

3 5 8. − +− 2 2

− xy

Lesson 8-2

5x + 3y

3 5 7. − x +− y

−− 13

Glencoe Algebra 2