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# SparkNotes: Algebra II: Factoring

X y 5 x 2y 10 12. X 2 y x y 2 5 x 5y x y( ) 5( ) 13. X 3 x 2 9 x 9 14. X 3 5 x 2 4 x 20 x 2 ( ) 9( ) x 2 ( ) 4( ) ( ) ( ) 15. Exercises. Factor each of the following by grouping: 1. X y 7 x 4y 28 2. 2 x y 5 x 10y 25 x ( ) 4( ) ( ) 3. Click "answer" and get the factored result. Examples, try typing these expressions into the calculator, select "Factor and then click answer to see a demonstration. 4x2-9 180 x4-81, need more help? Factor x y 4y 3 x 12 Solution: Again, there are no common factors, and this is not a trinomial. Group the first two and the last two terms together, and factor out the common factor from each grouping: ( x y 4y) (3 x 12) y ( x 4) 3 ( x 4) Now, take out the common factor. Check out this really cool online calculator we've partnered up with Mathway to provide for you. Enter your problem in the box, and then you'll see a range of appropriate solvers (such as "Factor appear in the "select topic" box. Factor x y 4y 3 x 12 Solution:Group the first two and the last two terms: x y 4y 3 x 12 y ( x 4) 3 ( x 4) At this point, it is important to realize that no common factor resulted. Try again, this time factoring a 3 from the last grouping. This works! X y 4y 3 x 12 y ( x 4) 3 ( x 4) ( x 4) (y 3) mple 4. The second half of this lesson is the sum and difference of cubes, which may be optional to your curriculum this first level of algebra. Remember, if you can learn this topic now, it will help you later.