Question

Reduce the fraction to lowest terms.
x^3 - x^2/x^3

Answer 1

are the x^3 and x^2 both part of the numerator?

like this?

\[\frac{ x^3-x^2 }{ x^3 }\]

Answer 2

or is it like this?

\[x^3 - \frac{ x^2 }{ x^3 }\]

Answer 3

No the top one, there both the numerator

Answer 4

Their*

Answer 5

alright, cool

you can split the fraction into

x^3/x^3 - x^2/x^3

using the rule from before

what is x^3/x^3? remember, top exponent minus bottom exponent

Answer 6

it'll be 0
Right?

Answer 7

good so x^3/x^3 = x^0 which is equal to 1

using the same logic

x^2/x^3 = ?

Answer 8

x^1
Right?

Answer 9

Wait no x^-1?

Answer 10

good, x^(-1)

so x^3 - x^2/x^3 = 1 - x^(-1) or 1 - 1/x

may I ask if you have a list of choices or do you type your answer in?

Answer 11

I have to type in the answer..

Answer 12

hm. ok. let me just double check b/c they might want a certain format

Answer 13

Oki

Answer 14

@hero may I ask your opinion on this question? we obtained the solution 1 - 1/x

if the question prompt is "reduce to lowest terms" would it be better to write the answer as

1-1/x or (x-1)/x?

Answer 15

Hint: Reducing to lowest terms implies writing as a single fraction.

Answer 16

so this?

(x-1)/x?

Answer 17

Correct

Answer 18

@secret can you try (x-1)/x as the solution? the parentheses are important, make sure to get them right

Answer 19

Oki Thank you again!!! ^-^