Question

simplify by removing factors of 1
t^2-16/(t+4)^2

Answer 1

\[\frac{t^2-16}{(t+4)^2}\]
\[\frac{(t+4)(t-4)}{(t+4)(t+4)}\] now cancel and you are done

Answer 2

cancel what??? sorry very confused

Answer 3

is it gonna be t-4/t+4??

Answer 4

yes

Answer 5

you have a "common factor" of t+4 in numerator an denominator. that is what it means by simplify by removing factors of 1 because
\[\frac{t+4}{t+4}=1\]

Answer 6

ok... thanks so much..
can you help me with one more

Answer 7

dont forget that
\[\frac{(t+4)(t-4)}{(t+4)(t+4)}=\frac{t+4}{t+4}\times \frac{t-4}{t+4}=1\times \frac{t-4}{t+4}\]

Answer 8

sure ask

Answer 9

find all the numbers for which the rational expression is undefined (t^3-2t)/(t^2-49)

Answer 10

set the denominator = 0 and solve. then say "all numbers except..."

Answer 11

\[t^2-49=0\]
\[t^2=49\]
\[t=\pm\sqrt{49}\]
\[t=7\]
\[t=-7\] so all real numbers except those

Answer 12

so i put 7,-7?

Answer 13

or if you prefer
\[t^2-49=0\]\[(t+7)(t-7)=0\]
\[t=-7\] or
\[t=7\] either way

Answer 14

yes the way the question is worded it asks for what is not allowed. so the answer is -7 and 7 are not allowed

Answer 15

thanks so much.. I am having some problems with my math final

Answer 16

good luck!

Answer 17

thanks