Adding and Subtracting Rational Expressions Advanced Math Topics Mrs. Mongold
Adding and Subtracting Rational Expressions
Advanced Math Topics
Mrs. Mongold
Adding and Subtracting Rational Expressions
Finding Least Common Multiples and Least Common Denominators!– Use prime factorization
– Example: Find the LCM of 6 and 4 6 = 2·3 4 = 22
LCM= 22·3 = 12
Find the LCM
1. a2 – 6a + 9 and a2 + a -12
Find the LCM
2. 18r2s5, 24r3st2, and 15s3t
Find the LCM
3. 12a2b4, 27ac3, and 18a5b2c
Find the LCM
4. 15a2bc3, 16b5c2, 20a3c6
Find the LCM
5. p3 + 5p2 + 6p and p2 + 6p + 9
Find the LCM
6. q2 – 4q + 4 and q3 – 3q2 + 2q
Find the LCM
7. 2k3 – 5k2 – 12l and k3 – 8k2 +16k
Find the LCM
8. x3-x2 – 2x and x2 – 4x + 4
Find the LCM
9. 6m3n5, 42mnp2, 36m3n4p
Add and Subtract Rational Expressions
Same as fractions…– To add two fractions we find the LCD, the same
things is going to happen with rational expressions
Examples
10. Simplify
xy
y
y
x
1815
72
Examples
11. Simplify27
1
9
8
abb
a
Examples
12. Simplify
y
x
xy 5
3
3
2
Examples
13. Simplify
22
1
8
1
mnnm
Examples
14. Simplify
ab
d
b
c
3
2
7
62
Examples
15. Simplify
82
4
164
12
w
w
w
w
Examples
16. Simplify
62
6
186
6
x
x
x
x
Examples
17. Simplify
2012
1
583
12
x
x
xx
x
Examples
18. Simplify
x
yx1
1
11
Examples
19. Simplify
xy
xy11
11
Examples
20. Simplify
ab
ba
1
1
Examples
21. Simplify
6
3x
x
xx
Examples
22. Simplify
xx
x1
11
Examples
23. Simplify
xx
x4
42
Examples
24. Simplify
8
2x
x
xx