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Example 2 − 1 ∙ + 1 + 2 ÷ ( − 1 )( + 2 ) ANSWER x(x+1)

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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

Page 4: Example ANSWER x(x+1). Example Example ANSWER 1

Adding and Subtracting

Rational Expressions

Advanced Math Topics

Mrs. Mongold

Page 5: Example ANSWER x(x+1). Example Example ANSWER 1

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

Page 6: Example ANSWER x(x+1). Example Example ANSWER 1

Find the LCM• 1. a2 – 6a + 9 and a2 + a -12

Page 7: Example ANSWER x(x+1). Example Example ANSWER 1

Find the LCM• 2. 18r2s5, 24r3st2, and 15s3t

Page 8: Example ANSWER x(x+1). Example Example ANSWER 1

Find the LCM • 3. 12a2b4, 27ac3, and 18a5b2c

Page 9: Example ANSWER x(x+1). Example Example ANSWER 1

Find the LCM• 4. p3 + 5p2 + 6p and p2 + 6p + 9

Page 10: Example ANSWER x(x+1). Example Example ANSWER 1

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

Page 11: Example ANSWER x(x+1). Example Example ANSWER 1

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

Page 12: Example ANSWER x(x+1). Example Example ANSWER 1

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

Page 13: Example ANSWER x(x+1). Example Example ANSWER 1

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

Page 14: Example ANSWER x(x+1). Example Example ANSWER 1

Examples• 8. Simplify xy

1815

Page 15: Example ANSWER x(x+1). Example Example ANSWER 1

Examples• 9. Simplify 27

abb

Page 16: Example ANSWER x(x+1). Example Example ANSWER 1

Examples• 10. Simplify

xy 5

Page 17: Example ANSWER x(x+1). Example Example ANSWER 1

Examples• 11. Simplify

mnnm

Page 18: Example ANSWER x(x+1). Example Example ANSWER 1

Examples• 12. Simplify

Page 19: Example ANSWER x(x+1). Example Example ANSWER 1

Examples• 13. Simplify

164

Page 20: Example ANSWER x(x+1). Example Example ANSWER 1

Examples • 14. Simplify

186

Page 21: Example ANSWER x(x+1). Example Example ANSWER 1

Examples• 15. Simplify

2012

583

Page 22: Example ANSWER x(x+1). Example Example ANSWER 1

Homework• 1.

• 2.

• 3.

• 4.

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3 IHRM INFOERA Assignment 2 answer example .ppt

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Evolution and Scoring Rules Example Score = 5 x (# matches) + (-4) x (# mismatches) + + (-7) x (total length of all gaps) Example Score = 5 x (# matches)

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Differential Equations. Some questions odes can answer Quick example How to solve differential equations Second example

Answer to Verified x Action

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Another example p := &x; *p := 5 y := x + 1;. Another example p := &x; *p := 5 y := x + 1; x := 5; *p := 3 y := x + 1; ???

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Holt Algebra 1 9-6 Solving Quadratic Equations by Factoring Example 1A Solve the equation. Check your answer. (x – 7)(x + 2) = 0 x – 7 = 0 or x + 2 = 0

Multiply the polynomial. 1.(x + 2)(x + 3)(x + 1) ANSWER (x 2 + 5x + 6)(x + 1) ANSWER 4x 2 – 1 2.(2x – 1)(2x + 1) 3. (x – 7) 2 ANSWER x 2 – 14x + 49