Simplify the rational expression (Show All work)

x^2-8x-48/x+4

Simplify the rational expression (Show All work)

x^2-8x-48/x+4

Tutors, please sign in to answer this question.

Middletown, CT

Hi Again Theresa;

x^{2}-8x-48/x+4

Let's factor...

x^{2}-8x-48

For the simplification process, one parenthetical equation must =(x+4)

For the LAST of FOIL, 4 x -12=-48

For the INNER and OUTER of FOIL, 4x-12x=-8x

So...

(x-12)(x+4)

Let's simplify...

[(x-12)(x+4)]/(x+4)

Let's cancel where appropriate...

[(x-12)(x+4)]/(x+4)=x-12

Janet K.

Teaching Assistant and retired Engineer

Yonkers, NY

5.0
(7 ratings)

Richard B.

Effective and Experienced Math and Science Tutor and Teacher

South Orange, NJ

5.0
(201 ratings)

Nikunj P.

Math and Science Specialist, Over 14 Years of Educational Experience

Scarsdale, NY

4.9
(163 ratings)

- Algebra 2 3152
- Simplifying Rational Expressions 13
- Algebra 1 3756
- Math 8616
- Word Problem 4730
- Math Help 4863
- Algebra 4560
- Rational Functions 72
- Functions 572
- Solving Rational Equations 42