Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Simplify (9x²+6x-3)/(9x²-9)
Options
A (3x-1)/(3(x-1))
Correct Answer
B (6x-1)/(3(2x-1))
C (2x-1)/(5(x-1))
D (2x-1)/(9(3x-1))
Correct Answer

Option A is the correct answer.

Detailed Explanation

Factor numerator: 9x²+6x-3 = 3(3x²+2x-1) = 3(3x-1)(x+1). Denominator: 9x²-9 = 9(x²-1) = 9(x-1)(x+1). Cancel (x+1): (3(3x-1)(x+1))/(9(x-1)(x+1)) = (3(3x-1))/(9(x-1)) = (3x-1)/(3(x-1)).

Hint

Factor both numerator and denominator completely.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 338 of 696
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