Question

Simplify
\frac{ 12-3x^2 }{ x^2+5x-14 }=

Answer 1

Start off by factoring

Answer 2

i got stuck

Answer 3

i don't know how to factor the numerators

Answer 4

the denominators are (x-2)*(x+7)

Answer 5

is this correct ?

Answer 6

So far, now for the numerator, would it help if we did this:
-(3x-12)
Just factored out a negative

Answer 7

i don't get it

Answer 8

it's suppose to be 3x^2

Answer 9

-3x^2

Answer 10

I took the negative out though..

Answer 11

And yea, sorry about that I forgot my exponent there
Then factor out a 3.. -3(x^2-4)

Answer 12

will this also work 3(4-x^2)
?

Answer 13

Yes, but you need to remove the negative sometime, because you won't be able to simplify anymore

Answer 14

OK thanks

Answer 15

Yup!

Answer 16

one more thing

what do i do now ?

Answer 17

Do you know what (x^2-4) factors into?

Answer 18

(x-2)^2

Answer 19

ooo now i see it

Answer 20

Close, (x-2)^2=x^2-4x+4)

Answer 21

(x^2-4)=(x+2)(x-2)

Answer 22

ok, i forgot,thanks

Answer 23

Anytime

Answer 24

Luigi0210 i'm gonna ask more questions in the future,can i send you emails of those questions?

Answer 25

Just post them on here and tag me with the "@" and put my name

Answer 26

Like @andrijano_r.com

Answer 27

like this
@Luigi0210

Answer 28

then the question

Answer 29

Yup!

Answer 30

ok

Answer 31

@Luigi0210
one more question
Subtract and simplify
\[\frac{ 9 }{ 2x^2+7x+5 }-\frac{ 3 }{ 2x^2+9x+10 }\]
i calculated and got to here
\[\frac{ 6x+15 }{ (2x+5)(x+1)(x+2) }\]
is this correct?
also help me i dont know what to do next .

Answer 32

@Luigi0210