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. ^^

Question

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. ^^

mathmate · Answer

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).

mathmate · Answer

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

seaseasea · Answer

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

mathmate · Answer

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

seaseasea · Answer

2(7x+5)

mathmate · Answer

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

seaseasea · Answer

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

mathmate · Answer

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