70.2k views
4 votes
Simplify the rational expression state Any excluded values

Simplify the rational expression state Any excluded values-example-1
User CDZ
by
9.0k points

1 Answer

3 votes
Before you start realize that division by zero is undefined. So x cannot equal 6 as 6-6=0. With that noted, you can factor the numerator which is a difference of squares of the form (a^2-b^2) which always factors to (a+b)(a-b). In this case the difference of squares is (x^2-36) so it is equal to (x+6)(x-6) so you have:

[(x+6)(x-6)]/(6-x) now you can factor out -1 from the second term in the numerator to get:

[-1(x+6)(6-x)]/(6-x) so the (6-x)s cancel out leaving:

-1(x+6) which is equal to

-x-6 which is the simplified form of the original equation.

So the answer is D. as -x-6 and x cannot equal 6.
User Nikhil K R
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories