I'll mark brainiest. Please Show all your work when simplifying [(x^2-3x+2) / (x^2-5x+4)] - [(x^2+10x+24) / (x^2+8x+12)]
Thankyou

12 / x2−2x−8

Step-by-step explanation:

[(x^2-3x+2) / (x^2-5x+4)] - [(x^2+10x+24) / (x^2+8x+12)]

=

12x2+60x−72 / x4+3x3−24x2−28x+48

=

12(x−1)(x+6) / (x−1)(x+2)(x−4)(x+6)

=

12 / x2−2x−8

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.