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Find the factors of6 mn−4n+6−9m.
- a)(2m−1) and (2n−4)
- b)(4m−1) and (n−3)
- c)(3m−2) and (2n−3)
- d)(4m−4) and (n−1)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Find the factors of6mn−4n+6−9m.a)(2m−1)and(2n−...
6mn-9m-4n+6
take 3m common
3m(2n-3)-2(2n-3)
(3m-2)(2n-3)
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Find the factors of6mn−4n+6−9m.a)(2m−1)and(2n−...
Understanding the Expression
To factor the expression 6mn - 4n + 6 - 9m, we first rearrange it for clarity:
- 6mn - 9m - 4n + 6
Grouping Terms
We can group the terms to make factoring easier:
- (6mn - 9m) + (-4n + 6)
Factoring Out Common Factors
Now we can factor out the common factors in each group:
- From the first group (6mn - 9m), we can factor out 3m:
- 3m(2n - 3)
- From the second group (-4n + 6), we can factor out -2:
- -2(2n - 3)
Combining the Factored Terms
Now, we can combine the two factored groups:
- 3m(2n - 3) - 2(2n - 3)
Notice that (2n - 3) is a common factor:
- (2n - 3)(3m - 2)
Identifying the Factors
Thus, we have factored the expression into:
- (3m - 2) and (2n - 3)
Choosing the Correct Option
Looking at the provided options:
- a) (2m - 1) and (2n - 4)
- b) (4m - 1) and (n - 3)
- c) (3m - 2) and (2n - 3) <--- this="" is="" the="" correct="">
- d) (4m - 4) and (n - 1)
The correct choice is option 'C', which matches our factored expression:
- (3m - 2) and (2n - 3)
This confirms that our factoring is accurate!
To factor the expression 6mn - 4n + 6 - 9m, we first rearrange it for clarity:
- 6mn - 9m - 4n + 6
Grouping Terms
We can group the terms to make factoring easier:
- (6mn - 9m) + (-4n + 6)
Factoring Out Common Factors
Now we can factor out the common factors in each group:
- From the first group (6mn - 9m), we can factor out 3m:
- 3m(2n - 3)
- From the second group (-4n + 6), we can factor out -2:
- -2(2n - 3)
Combining the Factored Terms
Now, we can combine the two factored groups:
- 3m(2n - 3) - 2(2n - 3)
Notice that (2n - 3) is a common factor:
- (2n - 3)(3m - 2)
Identifying the Factors
Thus, we have factored the expression into:
- (3m - 2) and (2n - 3)
Choosing the Correct Option
Looking at the provided options:
- a) (2m - 1) and (2n - 4)
- b) (4m - 1) and (n - 3)
- c) (3m - 2) and (2n - 3) <--- this="" is="" the="" correct="">
- d) (4m - 4) and (n - 1)
The correct choice is option 'C', which matches our factored expression:
- (3m - 2) and (2n - 3)
This confirms that our factoring is accurate!
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Question Description
Find the factors of6mn−4n+6−9m.a)(2m−1)and(2n−4)b)(4m−1)and(n−3)c)(3m−2)and(2n−3)d)(4m−4)and(n−1)Correct answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the factors of6mn−4n+6−9m.a)(2m−1)and(2n−4)b)(4m−1)and(n−3)c)(3m−2)and(2n−3)d)(4m−4)and(n−1)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the factors of6mn−4n+6−9m.a)(2m−1)and(2n−4)b)(4m−1)and(n−3)c)(3m−2)and(2n−3)d)(4m−4)and(n−1)Correct answer is option 'C'. Can you explain this answer?.
Find the factors of6mn−4n+6−9m.a)(2m−1)and(2n−4)b)(4m−1)and(n−3)c)(3m−2)and(2n−3)d)(4m−4)and(n−1)Correct answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the factors of6mn−4n+6−9m.a)(2m−1)and(2n−4)b)(4m−1)and(n−3)c)(3m−2)and(2n−3)d)(4m−4)and(n−1)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the factors of6mn−4n+6−9m.a)(2m−1)and(2n−4)b)(4m−1)and(n−3)c)(3m−2)and(2n−3)d)(4m−4)and(n−1)Correct answer is option 'C'. Can you explain this answer?.
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