Question

Simplify 2x + 10 / x^2 + 4x – 5
X + 5 / x – 1
2 / x – 1
2(x + 5) / x – 1
2 / x

Answer 1

can you factor x^2 + 4x – 5 ?

Answer 2

forgot

Answer 3

what are the 2 numbers with sum =4 and product = -5 ?

Answer 4

4x and -5

Answer 5

you mean 4 and -5 ?
not really...

Answer 6

ok

Answer 7

try again ?

Answer 8

2 and 10

Answer 9

2+10 =4 ?

Answer 10

and one of the number will be negative.

Answer 11

oh 2x and x^2 = 4

Answer 12

10 - 5 = 5

Answer 13

what about +5 and -1 ?

Answer 14

4

Answer 15

will those give sum =4 and product = -5 ?

Answer 16

yes

Answer 17

so, we split the middle term
4x = 5x-x

Answer 18

ok

Answer 19

x^2+5x-x-5 =0
x(x+5)-1 (x+5) =0
factor out x+5 from that, what u get ?

Answer 20

ok so im gonna have
(x + 5) and also -1

Answer 21

and there was +x in the beginning also, right ?
so , you have
(x-1)(x+5) as your denominator, ok ?
what about numerator 2x+10
factor out 2, what u get ?

Answer 22

12x

Answer 23

how ?

Answer 24

well adding them both together

Answer 25

you can't add 2x to 10
2x has 'x' in it, its variable, 10 is a constant

Answer 26

oh srry

Answer 27

im not sure then

Answer 28

2*x+10 = 2*x+2*5
2 is common, factoring it out,
2 (x+5)
got this ?

Answer 29

yup

Answer 30

numerator = 2 (x+5)
denominator = (x-1)(x+5)
what gets cancelled out ?

Answer 31

x + 5

Answer 32

what remains ?

Answer 33

2 / x - 1

Answer 34

thats your answer :)

Answer 35

thank you for all your help

Answer 36

welcome ^_^