Question 5: Subtract: 4x Зх x2 + 4x – 5 х? +х — 2

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter8: Roots And Radicals
Section8.8: Use The Complex Number System
Problem 8.159TI: Multiply: (53i)(12i)
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Question 5: Subtract:
4x
Зх
x2 + 4x – 5
х? +х — 2
Transcribed Image Text:Question 5: Subtract: 4x Зх x2 + 4x – 5 х? +х — 2
Expert Solution
Step 1

Given expression:

4х
Зх
х2 + 4x — 5 х2 +x — 2
To Find: Subtract given expression.
Step 2

Begin with factorizing the denominator,

Зx
4x
х2 + 5х — х —5
4x
х2 + 2х — х — 2
Зx
x(x+5) – 1(x + 5)
4х
x(x+2) – 1(x+2)
Зx
(x – 1)(x + 5)
(x – 1)(x+ 2)
Next, determine the LCM of the denominator,
The LCM of the denominators is (x – 1)(x + 5)(x+2).
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