SOLUTION: (x-6x+9)/(x-3)

Question 216079: (x-6x+9)/(x-3)
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!

Step 1. Look at the numerator .

Step 2. Need to integers m and n whose sum is -6 and product is 9.

Step 3. The two integers are -3 and -3. We can factor through grouping where -6x=-3x-3x. We can also recognize that the trinomial is a perfect square, that is . Nevertheless the following steps, will show the technique of grouping.

Factor (x-3) from both groups

Step 4. Now substitute the expression in Step 3 with

Note we can cancel the factor (x-3) in the numerator and denominator.

Step 4. ANSWER:

I hope the above steps were helpful.

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

And good luck in your studies!

Respectfully,
Dr J

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