Question

See attachment.

Answer 1

\[\frac{t^2-4}{(t+2)^2}.\]Take a look at the numerator. Do you see any way we could "factor" it?

Answer 2

no

Answer 3

Would you agree that \(t^2-4=(t+2)(t-2)\) ?\[\]

Answer 4

yes

Answer 5

Then we're now left with\[\frac{(t+2)(t-2)}{(t+2)^2}.\]Can we simplify this any further?

Answer 6

(t+2) (t-2)/ (t+2)(t+2).... this is the original equation factor. so u just cancel out like terms and ur left with... t-2/ t+2

Answer 7

sigh...

Effectively enough,\[\frac{(t+2)(t-2)}{(t+2)^2}=\frac{(t+2)(t-2)}{(t+2)(t+2)}=\frac{(t-2)}{(t+2)}.\]

Answer 8

so is that the answer. (t-2)/(t+2)

Answer 9

That's correct...

Answer 10

yep

Answer 11

THX