## anonymous 3 years ago What is the simplified form of the quantity x-squared minus 16 over the quantity x plus 4 ?

1. anonymous

$\frac{ x^2-16 }{ (x+4) }$

2. geerky42

$\dfrac{x^2 - 16}{x+4}$ I'd factor the numerator if I were you.

3. geerky42

Remember the differences of squares? $x^2 - a^2 = (x-a)(x+a)$

4. anonymous

so then, the numerator would be $(x+4)(x-4)$right?

5. geerky42

Right.

6. anonymous

and then the (x+4) would cancel each other out

7. geerky42

Yes

8. anonymous

leaving the answer as x - 4, with the restriction x ≠ -4

9. geerky42

Yeah.

10. anonymous

Thanks!

11. geerky42

12. anonymous

x-4, I did that one in my head

13. geerky42

Good for you.