Write the rational expression in simplest form and get the restriction in smaller value and larger value.

Question

(x^2-64) / (x^3 +x^2 - 64x - 64)

Restriction
(Smaller value) x≠
(Larger value) x≠

Answer 1

you should have no difficulty the top, I will get you started with the bottom

x^3 +x^2 - 64x - 64
= x^2(x + 1) - 64(x + 1)
= ....

Answer 2

i got 1/(x+1)
how do i the the smaller value restriction and larger value restriction

Answer 3

(x^2-64) / (x^3 +x^2 - 64x - 64)
= (x^2-64) / (x^2(x + 1) - 64(x + 1) )
= (x^2 - 64)/( (x+1)(x^2 - 64) )
= 1/(x+1) , x ≠ ±8

Answer 4

hey reiny, thanks, but is x ≠ ±8 is the smaller value restriction or the larger value restrictions