SOLUTION: factor by grouping 7a^2-2bc-7ab+2ac

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Question 223600: factor by grouping
7a^2-2bc-7ab+2ac
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
7a%5E2-2bc-7ab%2B2ac

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

7a%5E2-2bc-7ab%2B2ac=7a%5E2-7ab%2B2ac-2ab=+%287a%5E2-7ab%29%2B%282ac-2bc%29

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

%287a%5E2-7ab%29%2B%282ac-2bc%29=+7a%28a-b%29%2B2c%28a-b%29

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

7a%28a-b%29%2B2c%28a-b%29=%28a-b%29%287a%2B2c%29

Step 4. ANSWER: 7a%5E2-2bc-7ab%2B2ac=%28a-b%29%287a%2B2c%29


I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J