Question

help please

Answer 1

Which of the following is equal to the rational expression below when \[x \neq 2\] or 9\[\frac{ 4(x-2) }{ (x-2)(x-9) }\]

Answer 2

@phi can you please help me

Answer 3

@dumbcow can you help me please

Answer 4

do you know what you get if you divide something by itself ?

Answer 5

1?

Answer 6

wait do you just cross out the (x-2) and it would be 4/(x-9)

Answer 7

yes

that is always true *except* for 0/0 which is undefined.

do you see the same thing in the top and bottom that can be simpliifed.

Answer 8

yes, (x-2)/(x-2) = 1

remember with fractions we could write it like this
\[ \frac{(x-2)}{(x-2)} \frac{4}{x-9} \]
and the first part is 1 (but only if x is not 2, because if x is 2 we get 0/0 and that is trouble)

Answer 9

ok thanks i get it now