Question 223600
{{{7a^2-2bc-7ab+2ac}}}


Step 1.  Rearrange the order of terms so we can start grouping


{{{7a^2-2bc-7ab+2ac=7a^2-7ab+2ac-2ab= (7a^2-7ab)+(2ac-2bc)}}}


Step 2. Now factor out 7a from the first group and 2c from the second group.


{{{(7a^2-7ab)+(2ac-2bc)= 7a(a-b)+2c(a-b)}}}


Step 3.  We see that (a-b) is a common factor in the two groups, so factor it out...


{{{7a(a-b)+2c(a-b)=(a-b)(7a+2c)}}}


Step 4.  ANSWER:  {{{7a^2-2bc-7ab+2ac=(a-b)(7a+2c)}}}



I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J