Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

130,376 users

Simplify the expression

0 votes

Simplify the expression (2x2-5x-12)/(2x2-4x-16).

asked Oct 23, 2018 in ALGEBRA 2 by anonymous

1 Answer

0 votes

(2x^2 - 5x - 12) / (2x^2 - 4x - 16)  =  (2x^2 - 8x + 3x - 12) / (2x^2 - 8x + 4x - 16)

                                                     =  [ 2x(x - 4) + 3(x - 4) ] / [ 2x(x - 4) + 4(x - 4) ]

                                                     =  [ (x - 4) (2x + 3) ] / [ (x - 4) (2x + 4) ]

                                                     =  (2x + 3) / (2x + 4)

                                                     =  (2x + 3) / [2(x + 2)]

Answer :

(2x^2 - 5x - 12) / (2x^2 - 4x - 16)  =   (2x + 3) / [2(x + 2)].

answered Oct 23, 2018 by homeworkhelp Mentor

Related questions

asked Dec 29, 2017 in ALGEBRA 1 by anonymous
...