The correct option for the following statements about 42xy – 49x + 30y – 35 are true is B. One of the factors is (7x + 5), and C. One of the factors is (6y – 7).
Explanation:
Regroup terms into two proportional parts:(42xy - 49x)+(30y-35)
Factor the expression:72 (6y-7) + (30y-35)
Factor the expression:72 (6y-7)+5(6y-7) Answer: (6y-7) (7x+5)
Factor the expression:(6y-7) (7x+5)
Answer: ( 6y - 7) ( 7x + 5 )
How do you regroup the terms?
Method of factoring terms: Step 1: arrange the terms of the given expression in groups in this sort of way so that every one of the groups has a common factor. Step 2: Factorize each group. Step 3: Take out the aspect which is commonplace to every institution.
Conclusion: Step 1: group the first two phrases collectively after which the ultimate terms are together. Step 2: element out a GCF from each separate binomial. Step 3: factor out the not unusual binomial. be aware that if we multiply our solution out, we do get the unique polynomial.
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