Question

simplifying completely

Answer 1

\[\frac{ z ^{3}-4z }{z ^{2}-4z+4 }\]
top one is, z^3
bottom one is , z^2

Answer 2

Have you considered factoring completely both the numerator and the denominator?

Answer 3

im not sure how to factor the top but the bottom one is (z-2)(z-2)

Answer 4

@tkhunny

Answer 5

What course is this?

\(z^{3} - 4z = z(z^{2} - 4)\) -- More to do?

Answer 6

algebra2
and okay i see where your going. but would it be possible to do z(z^2-2)(z+2)

Answer 7

You should recognize the difference of squares.

\(z^{3} - z = z(z^{2} - 4) = z(z+2)(z-2)\)

Answer 8

so. \[\frac{z (z+2)(z-2) }{ (z-2)(z-2) }\]
then cancel out both (z-2) on top and bottom.
then it becomes \[\frac{ z(z+2) }{ (z-2) }\]

Answer 9

That's about it.

Note: Change your screen name. What chance do you have to succeed if that's how you advertise yourself?!

Answer 10

haha! okay i will.:D thank you so much for your help

Answer 11

You did well. Hang in there!