SOLUTION: 3x^2-29xy+18y^2

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Question 217339: 3x^2-29xy+18y^2
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2-29xy%2B18y%5E2

I assume this problem is a factoring problem

Step 1. Need to find two integers m and n such that their sum m+n=-29 and their product is m*n=3*18=54.

Step 2. After a couple tries, the integers are -2 and -27.

Step 3. We can now factor the equation using grouping and noting that -29xy=-2xy-27xy.

3x%5E2-29xy%2B18y%5E2=%283x%5E2-2xy%29%2B1%2A%28-27xy%2B18y%5E2%29

Factor x in the first group and -9y in the second group

3x%5E2-29xy%2B18y%5E2=x%283x-2y%29-9y%283x-2y%29

Now factor 3x-2y since it is common to both groups

3x%5E2-29xy%2B18y%5E2=%283x-2y%29%28x-9y%29


Step 4. ANSWER: 3x%5E2-29xy%2B18y%5E2=%283x-2y%29%28x-9y%29

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for
Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J