10 x is 2 ab x 2 10 x 25 x 2 25 x 5 2 x 5 2 Solution c Rewrite the trinomial so

# 10 x is 2 ab x 2 10 x 25 x 2 25 x 5 2 x 5 2 solution

This preview shows page 10 out of 10 pages.

10 x is 2 ab . x 2 10 x 25 x 2 2(5 x ) 5 2 ( x 5) 2 Solution (c): Rewrite the trinomial so that the first and third terms are perfect squares. 9 x 2 12 x 4 (3 x ) 2 12 x 2 2 Notice that if we let a 3 x and b 2 in a 2 2 ab b 2 ( a b ) 2 , then the middle term 12 x is 2 ab . 9 x 2 12 x 4 (3 x ) 2 2(3 x )(2) 2 2 (3 x 2) 2 YOUR TURN Factor: a. x 2 8 x 16 b. x 2 4 x 4 c. 25 x 2 20 x 4 Answer: a. ( x 4) 2 b. ( x 2) 2 c. (5 x 2) 2 EXAMPLE 4 Factoring the Sum of Two Cubes Factor x 3 27. Solution: Rewrite as the sum of two cubes. x 3 27 x 3 3 3 Write the sum of two cubes formula. a 3 b 3 ( a b )( a 2 ab b 2 ) Let a x and b 3. x 3 27 x 3 3 3 ( x 3)( x 2 3 x 9)

#### You've reached the end of your free preview.

Want to read all 10 pages?

• Summer '17
• juan alberto
• Algebra, Distributive Property, GCF

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern