Which of the following is a factor of 10xy − 5y + 18x − 9?

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22-03-2018
Mathematics

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Which of the following is a factor of 10xy − 5y + 18x − 9?

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mihaela2 mihaela2 · Answer 1 · 2018-03-22T22:29:24+01:00

1.1 Split 10xy - 5y + 18x - 9
into two 2-term polynomials
- 5y + 10xy and + 18x - 9
This partition did not result in a factorization. We'll try another one:

10xy - 5y and + 18x - 9
This partition looks good

1.2 Pull out from each binomial separately
10xy - 5y = 5y • (2x - 1)
+ 18x - 9 = + 9 • (2x - 1)

1.3 Add up to arrive at the desired factorization
(5y + 9) • (2x - 1)

Factorization found :

(5y + 9) • (2x - 1)