Question

can someone help me subtract rational functions ?

Answer 1

\[\frac{ w^2 - 7w + 10 }{ w^2 + 4w - 12 } - \frac{ 7 }{ w + 6 }\]

Answer 2

find the LCD first

Answer 3

i did its ( w - 2 ) ( w + 6 )

Answer 4

Try factoring the w^2+4w-12 first.

Answer 5

Good, now on the right fraction, it's missing a (w-2)

So multiply both the top and bottom of the right fraction, by (w-2)

Answer 6

i did its \[\frac{ 7 ( w - 2 ) }{ ( w + 6 ) ( w - 2 ) }\]

Answer 7

i just dont know what to do from here @agent0smith

Answer 8

The fractions have the same denominator now, you can combine them. \[\Large \frac{ w^2 - 7w + 10 }{ w^2 + 4w - 12 } - \frac{ 7 ( w - 2 ) }{ ( w + 6 ) ( w - 2 ) }\]

Answer 9

what do you mean combine them ?

Answer 10

Subtract them.

Answer 11

thats the problem i have difficulties with. i dont know how to

Answer 12

The denominator is the same. All you have do is combine the numerators (subtract, add like terms and such)

Answer 13

\[\Large \frac{ w^2 - 7w + 10 }{ ( w + 6 ) ( w - 2 ) } - \frac{ 7 ( w - 2 ) }{ ( w + 6 ) ( w - 2 ) } =\] \[\Large \frac{ w^2 - 7w + 10 - 7 ( w - 2 ) }{ ( w + 6 ) ( w - 2 ) } \]

Answer 14

would i distribute the 7 to the w and -2 ?

Answer 15

Yes

Answer 16

And the negative.

Answer 17

\[\frac{ w^2 - 4 }{ ( w + 6 ) ( w - 2 ) }\]

Answer 18

You didn't add up the terms correctly.

Answer 19

\[\Large \frac{ w^2 - 7w + 10 - 7 w + 14}{ ( w + 6 ) ( w - 2 ) }\]

Answer 20

a. w - 12
b. \[\frac{ w-5 }{ w + 6}\]
c. \[\frac{ w-12 }{ w + 6 }\]
those are my answer choices

Answer 21

\[\Large \frac{ w^2 - 7w + 10 - 7 w + 14}{ ( w + 6 ) ( w - 2 ) }\]First simplify the top.

Then you'll have to factor the top.

Answer 22

its not making sense to me

Answer 23

Combine like terms. -7w - 7w is...?

Answer 24

-14w

Answer 25

and 10+14

Answer 26

lemme try factoring the top

Answer 27

\[\Large \frac{ w^2 - 14w + 24}{ ( w + 6 ) ( w - 2 ) }\]

Answer 28

yes i got that but now i need it to match my answer choices

Answer 29

Factor the top and you will be able to cancel a common factor.

Answer 30

\[\frac{ w-12 }{ w + 6 }\] THANK YOU SO MUUUUUCH <3

Answer 31

No prob, very good job :)

Answer 32

OK i might need your help again but ill just mention you. i hope thats ok with you

Answer 33

Sure :) And if I was kinda hard on you, it's only cos I could tell you could do it :)

Answer 34

lol its ok , i appreciate it . it helps me understand (: