SOLUTION: Simplify: 3*x^2+17*x*y+20*y^2/3*x^2-x*y-10*y^2 hope I wrote that right! It is 3x squared +17xy+ 20ysquared over 3xsquared-xy-10ysquared

Algebra ->  Equations -> SOLUTION: Simplify: 3*x^2+17*x*y+20*y^2/3*x^2-x*y-10*y^2 hope I wrote that right! It is 3x squared +17xy+ 20ysquared over 3xsquared-xy-10ysquared       Log On


   

Question 50650: Simplify:
3*x^2+17*x*y+20*y^2/3*x^2-x*y-10*y^2
hope I wrote that right! It is 3x squared +17xy+ 20ysquared over 3xsquared-xy-10ysquared
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I think I know what you mean.
+%283x%5E2%2B17xy%2B20y%5E2%29%2F%283x%5E2-xy-10y%5E2%29+

To reduce a fraction, it must be written in factored form. To do this, you must factor the two trinomials, and I must say this is the hard part!!

+%28%283x+%2B+5y+%29%2A%28x++%2B++4y%29%29%2F%28%283x+%2B5y%29%2A%28x-2y%29%29

Notice that the factors of (3x+5y) divide out, leaving
+%28x%2B4y%29%2F%28x-2y%29

If you need help factoring these types of trinomials, I have an entire lesson devoted to this on my website. Click on my tutor name anywhere in algebra.com, then look for "Basic Algebra", "Samples from Basic Algebra: One Step at a Time", "Chapter 2", "Advanced Trinomial Factoring". You will find an entire lesson with explanation, examples, exercises, and answers.

R^2 at SCC