Question

Simplifying rational expressions. MEDALS.

Answer 1

8. x-2/x^2+4x-12

a. 1/x+6; where x=-6
b.1/x+6; where x=-6,2
c. 1/x+2; where x=2
d. x+2 <--

9. Simplify. x^2-3x-10/x+2
a. x-5; where x=-2
b. x-5; where x=5
c. 1/x-2; where x=2
d.x-2

Answer 2

Break down the denominator: (x-2)/(x+6)(x-2)
Now the x-2 cancels leaving 1/x+6, where x - -6 and 2. You can't forget the qualifier for the piece that you cancelled

Answer 3

\[8.x-\frac{ 2 }{ x ^{2} }+4x-12 =12x-\frac{ 2 }{ x ^{2} }-12 =\frac{ (12x+12(-1))x ^{2} }{ x ^{2} }-2=\frac{ 12x ^{2} }{ x ^{2} }\]