Question

simplify the rational expression. State any restrictions on the variable.

Answer 1

A. q+8/q-8 ; q ≠ –3, q ≠ –8
B. -(q+8)/ q-8 ; q ≠ 8
C. q+8/q-8 ; q ≠ –3, q ≠ 8
D. -(q+8)/q-8 ; q ≠ –3, q ≠ 8

Answer 2

First try to factor both numerator and denominator.
You get:
Numerator: q²+11q+24=(q+a)(q+b), where a+b=11 and ab=24, so a=..., b=...
Denominator: q²-5q-24=(q+c)(q+d), where c+d=-5 and cd=-24, so c=..., d=...

Hint: I always try the product (ab, cd) first, because there are not many "nice" numbers that will do the trick:
1*24 - no: sum is not 11
2*12 - no: sum is not 11
3*8 - YES! sum is 11!

After doing this, you'll see common factors which can be canceled. Just remember that dividing by 0 is bad, so exclude the values that make the denominator 0.

Answer 3

so its c?

Answer 4

or a ?

Answer 5

@ZeHanz

Answer 6

Hold on, I'm typing ;)

Answer 7

\[\frac{ (q+3)(q+8) }{ (q+3)(q-8) }=\frac{ q+8 }{ q-8 }\]Of course, q may not be -3, also not 8, so I get answer C. You are right!