Question

\(\sf Simplify ~~\huge x^2-7x-\frac{8}{x^2}-4x-32\)

Answer 1

\[\huge\rm \frac{ x^2 -7x-8 }{ x^2 -4x-32 }\]
factor both numerator and denominator

Answer 2

do you know how to factor quadratic equations ??

Answer 3

FACTOR IT

Answer 4

nope

Answer 5

for first one ?? then nope

Answer 6

you need to use quadatic formula to find root so you can factor

Answer 7

okay lets factor first one \[\huge\rm x^2 -7x -8\]let me know what you get :)

Answer 8

find two number if you multiply them you should get -8
and if you add or subtract them you should get -7 :)

Answer 9

-8 and 1

Answer 10

yes that is right :) :)

Answer 11

\[\huge\rm(x-8)(x+1)\]
because leading coefficient is one so you can write like this ;)

Answer 12

\[\huge\rm x^2-4x -32\]
what about this one ??

Answer 13

-8 and 4?

Answer 14

yes right
-8 times 4 = -32
and -8 +4 = -4

Answer 15

Ah, thank you so much! Would you mind helping me with one more problem? :)

Answer 16

\[\frac{ (x-8)(x+1) }{ (x-8)(x+4) }\]

Answer 17

got it!! ??

Answer 18

my pleasure and SURE!!

Answer 19

Yes, you're a great help!! And the other problem says to multiply, x^2/x+7 * x^2+11x+28/x^2+4x

Answer 20

\[ \huge\rm \frac{ x^2 }{ x+7 } \times \frac{ x^2 +11x +28 }{ x^2 +4x }\]
O_O this is your question right ?

Answer 21

Correct!

Answer 22

again factor both den. and numerator on right side

Answer 23

Okay, how do you factor if there is only 2 numbers?

Answer 24

\[\frac{ x^2 +11x +28 }{ x^2 +4x }\] do you mean den. ?
x^2 +4x ? this one ??

Answer 25

Yes .

Answer 26

oaky so what is common in this both term x^2 and 4x ??

Answer 27

I believe for the top it is 7 and 4? And the x.

Answer 28

yes right
7 times 4 = 28
7 +4 = 11
so yes

Answer 29

yes for the bottom part
just x so what you left

Answer 30

So would it be (x+7)(x+4) / (x+4)?

Answer 31

yes right but don't forget x which suppose to be at the bottom

Answer 32

Okay, so then the two x+4 would cancel out.

Answer 33

\[\frac{ (x+7) (x+4)}{ x(x+4) }\]
like this

Answer 34

yes right

Answer 35

Oh I see, so I canceled them out now I'm left with x^2/x+7 * x+7/x

Answer 36

yes right

Answer 37

Okay, can you please help me with wht the next step is(:

Answer 38

what's the final answer ??

Answer 39

ohh okay i thought you said with next question

Answer 40

Oh haha, I'm sorry!!

Answer 41

you can cancel out x+7 ;)