Question

simplify the rational expression 4x^2+28x+40/x^2-2x-8

Answer 1

Factor 4 out of the numerator first. Then factor the remaining quadratic equations. Factor the quadratic expression in the denominator.

Answer 2

i dont know how

Answer 3

I will do the numerator, you do the denominator:
4x^2+28x+40 = 4(x^2 + 7x + 10) = 4[ x^2 + 5x + 2x + 10 ] =
4[ x(x + 5) + 2(x + 5) ] = 4(x + 2)(x + 5)

Denominator is: x^2-2x-8. You factor it.

Answer 4

i dont know how please help

Answer 5

x^2-2x-8 = x^2 - 4x + 2x - 8
x(x - 4) + 2(x - 4) = (x + 2)(x - 4)

Put the numerator and denominator together: 4(x + 2)(x + 5) / [ (x + 2)(x - 4) ]
The (x + 2) cancels out.
4(x + 5) / (x - 4)

Answer 6

THANK YOU SOOO MUCH
i really appreciate it been dancing all day i cant even think ballet principal

Answer 7

can you do another one ?

Answer 8

You are welcome. I can try. But you should learn these by practicing because quadratic equations will keep popping up.

Answer 9

adding rational expressions 2/x+3/2x+1/4

Answer 10

ugh i know i will

Answer 11

Divide the rational expression 16x^3/x^2-25 divided by 10x/2x+10?

Answer 12

thats it !

Answer 13

Does the second problem look exactly like this or does the x in the second term occur next to the 2 in the denominator?\[\Large \frac{ 2 }{ x } + \frac{ 3 }{ 2 }x + \frac{ 1 }{ 4 }\]

Answer 14

pwease hurry YES IT DOES

Answer 15

???

Answer 16

(3x^2 + 2x + 4) / 2x

Answer 17

the x goes next to the 2 in 3 over 2

Answer 18

?????

Answer 19

It is too late. for the second one. You are changing it at the last minute.

Third one: 16x^2 / {5(x-5)}

Answer 20

sorry

Answer 21

can you show me work like how u got htat answer ?

Answer 22

2) (x + 20)/4x

Answer 23

what is that for ? ^^

Answer 24

16x^3/x^2-25 divided by 10x/2x+10?
16x^3 / (x^2 - 25) / 10x/(2x+10)
= 16x^3/[(x + 5)(x - 5)] * 2(x + 5) / 10x
= 32x^2 / [10(x-5)] = 16x^2 / 5(x - 5)

Answer 25

thank you !

Answer 26

You changed the problem and said the x in the second term of the second problem is in the bottom with 2. So the answer changed.

Answer 27

one more ?

Answer 28

ok so that was the answer

Answer 29

sorry. If you are doing an online test or something I shouldn't be giving you answers without you learning.