OpenStudy (seaseasea):

seaseasea Factoring the following by using the grouping method and identify one of the factors below: 28xy − 154x + 20y − 110? A. x − 4 B. 7x + 4 C. 7x − 11 D. 2y − 11 Please explain how you've gotten the answer or explain what I have to do to get the answer. Thanks. ^^

11 months ago
OpenStudy (mathmate):

The is a case where you can group the xy term with either the x or the y term, take out the common factor and everything will fall in place (if the expression is factorizable).

11 months ago
OpenStudy (mathmate):

(28xy − 154x) + (20y − 110) =14x(2y-11) + 10(2y-11) = ?

11 months ago
OpenStudy (seaseasea):

(2y-11) (14x + 10)

11 months ago
OpenStudy (mathmate):

Wait, there is another common factor in 14x+10. That has to be taken out as well.

11 months ago
OpenStudy (seaseasea):

2(7x+5)

11 months ago
OpenStudy (mathmate):

Actually, that "2" should have been taken out before we even began! So the final result looks like ....?

11 months ago
OpenStudy (seaseasea):

Thank you for all the help you've given me! Oh, and sorry for upvoting so late. ;o;

11 months ago
OpenStudy (mathmate):

@seaseasea Thank you for the upvote. It is very much appreciated, even though that is not the primary motivation to helping.

11 months ago