## anonymous 3 years ago Which of the following is the simplified form of

1. anonymous

$\frac{ x ^{2}-16 }{ x-4 }$

2. anonymous

x + 4, with the restriction x ≠ –4 x – 4, with the restriction x ≠ –4 x + 4, with the restriction x ≠ 4 x – 4, with the restriction x ≠ 4

3. anonymous

can you factorize $x^{2}-16$??????????????????

4. anonymous

(x+4)(x-4)?

5. anonymous

oh sorry $\frac{ (x+4)(x-4) }{ x-4 }$Thus which cancels which?

6. anonymous

x-4 cancels

7. anonymous

But $x-4\neq0......x{\neq}4$right?

8. anonymous

im confused

9. anonymous

If you have rational expression like a/b, b must not be 0 so as the given expression above to be rational. You this?

10. anonymous

you know this?

11. anonymous

yea

12. anonymous

Therefore the expression$\frac{ (x+4)(x-4) }{ x-4 }$ to be rational, what condition must be fulfilled?

13. anonymous

Are you there?