Step 2: Divide each numerator and denominator by the common factor which is x + 5. (x+5)(x-5) (x+5)(x+3) x2-25 Answer: The lowest term of x-5 is x+3" x2 +8x+15 Let's Apply (Exercises) Give the greatest common factor (GCF) to both numerator and denominator. Assume that the denominator is nonzero. ах+ау 4) y2 +xy 20c3 1) 5c 4(x+3) 18x-24 5) 3) 8(x+3) 60 3x-3y 6х-6у

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Step 2: Divide each numerator and denominator by the common factor wbich is
x + 5.
(x+5)(x-5)
(x+5)(x+3)
x2-25
x-5
is
x+3"
Answer: The lowest term of
x2+8x+15
Let's Apply (Exercises)
Give the greatest common factor (GCF) to both numerator and denominator.
Assume that the denominator is nonzero.
ах+ау
4)
y2 +xy
20c3
1)
5c
18x-24
4(x+3)
5)
3)
8(x+3)
60
3x-3y
бх-6у
Let's Analyze (Enrichment Exercises)
Reduce each rational expression to lowest terms. Assume that the denominator is
not equal to zero.
a² –1
4)
1-a
x²+3x
1)
x2 +5x+6
2x2-10x+8
5)
3x2 -7x+4
9y+18
2)
y2 +4y+4
x2 -1
3)
x2+2x+1
Additional Activities (Critical Thinking)
x3+1
Evaluate
if x = 3,215 without using a calculator. Show your work.
x2-x+1
(Clue: Factor both numerator and denominator.)
Let's Try. (Evaluation)
Encircle the letter of the best answer.
1) Which of the following expressions is in simplest form?
x+2
А.
2x+8
B.
2
2x
C.
8x6
D.
2x3
10 (x+3)
2(x-3)(x+3)'
В. 10
2) In the expression
x cannot be equal to
С.3
D. 5
А. 2
Transcribed Image Text:Step 2: Divide each numerator and denominator by the common factor wbich is x + 5. (x+5)(x-5) (x+5)(x+3) x2-25 x-5 is x+3" Answer: The lowest term of x2+8x+15 Let's Apply (Exercises) Give the greatest common factor (GCF) to both numerator and denominator. Assume that the denominator is nonzero. ах+ау 4) y2 +xy 20c3 1) 5c 18x-24 4(x+3) 5) 3) 8(x+3) 60 3x-3y бх-6у Let's Analyze (Enrichment Exercises) Reduce each rational expression to lowest terms. Assume that the denominator is not equal to zero. a² –1 4) 1-a x²+3x 1) x2 +5x+6 2x2-10x+8 5) 3x2 -7x+4 9y+18 2) y2 +4y+4 x2 -1 3) x2+2x+1 Additional Activities (Critical Thinking) x3+1 Evaluate if x = 3,215 without using a calculator. Show your work. x2-x+1 (Clue: Factor both numerator and denominator.) Let's Try. (Evaluation) Encircle the letter of the best answer. 1) Which of the following expressions is in simplest form? x+2 А. 2x+8 B. 2 2x C. 8x6 D. 2x3 10 (x+3) 2(x-3)(x+3)' В. 10 2) In the expression x cannot be equal to С.3 D. 5 А. 2
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