example answer x(x+1). example example answer 1

Example

𝑥2

𝑥−1∙𝑥+1𝑥+2

÷𝑥

(𝑥−1)(𝑥+2)ANSWER x(x+1)

Example

𝑥2−42𝑥2−5𝑥+2

÷2 𝑥2−3 𝑥−24 𝑥2−1ANSWER

Example

𝑟2+4𝑟𝑠+3 𝑠2

𝑟2+5𝑟𝑠+6𝑠2∙ (𝑟+2𝑠 )− 1÷ 𝑟+𝑠

𝑟2+4𝑟𝑠+4 𝑠2ANSWER 1

Adding and Subtracting

Rational Expressions

Advanced Math Topics

Mrs. Mongold

Adding and Subtracting Rational

Expressions• Finding Least Common Multiples and Least

Common Denominators!o Use prime factorization

o 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. p3 + 5p2 + 6p and p2 + 6p + 9

Find the LCM• 5. q2 – 4q + 4 and q3 – 3q2 + 2q

Find the LCM• 6. 2k3 – 5k2 – 12l and k3 – 8k2 +16k

Find the LCM• 7. x3-x2 – 2x and x2 – 4x + 4

Add and Subtract Rational

Expressions• Same as fractions…

o To add two fractions we find the LCD, the same things is going to happen with rational expressions

Examples• 8. Simplify xy

y

y

x

1815

72

Examples• 9. Simplify 27

1

9

8

abb

a

Examples• 10. Simplify

y

x

xy 5

3

3

2

Examples• 11. Simplify

22

1

8

1

mnnm

Examples• 12. Simplify

ab

d

b

c

3

2

7

62

Examples• 13. Simplify

82

4

164

12

w

w

w

w

Examples • 14. Simplify

62

6

186

6

x

x

x

x

Examples• 15. Simplify

2012

1

583

12

x

x

xx

x

Homework• 1.

• 2.

• 3.

• 4.