SOLUTION: factor by grouping: ax+34x+ay+34y

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Question 223598: factor by grouping:
ax+34x+ay+34y
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
ax%2B34x%2Bay%2B34y

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

ax%2B34x%2Bay%2B34y=ax%2Bay%2B34x%2B34y=%28ax%2Bay%29%2B%2834x%2B34y%29

Step 2. Now factor out a from the first group and 34 from the second group.

%28ax%2Bay%29%2B%2834x%2B34y%29=a%28x%2By%29%2B34%28x%2By%29

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

a%28x%2By%29%2B34%28x%2By%29=%28x%2By%29%28a%2B34%29

Step 4. ANSWER: ax%2B34x%2Bay%2B34y=%28x%2By%29%28a%2B34%29


I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J