Question

How do you solve this question? The question is attached as an image.

Answer 1

if you plugged in x = t, you'd get 0/0 which is indeterminate

but there is a way to fix this. You somehow have to cancel out the (t-x) in the denominator. So that means you have to somehow find a way to factor out (t-x) in the numerator

Answer 2

yeah that's where i got stuck on. how do you factor 4t^(1/3) - 4x^(1/3) ?

Answer 3

like i know you have to take the 4 out but i'm not sure what your supposed to do with the exponent

Answer 4

*you're

Answer 5

I'm still working that part out. One sec

Answer 6

ok

Answer 7

Have you learned about the difference of cubes factoring formula?

Answer 8

ohh yes a^3 – b^3 = (a – b)(a^2 + ab + b^2)

Answer 9

correct

Answer 10

we don't have something of the form a^3 - b^3, but we do have something similar