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

Question

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

Champion · 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).

Champion · Answer

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

HelpMePlz · Answer

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

Champion · Answer

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

HelpMePlz · Answer

2(7x+5)

Champion · Answer

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

HelpMePlz · Answer

Thank you for all the help you've given me!

Champion · Answer

welcome ^_^