Question

Divide the following x square -1 by x-1​

Answer 1

Hey mate

ANSWER :-

${x}^{2} - {1}^{2} \\ = (x + 1)(x - 1) \\ \\ now \: divide \: the \: above \: eq \: by \: (x - 1) \\ \\ then \\ \\ (x + 1)(x - 1) \div (x - 1) \\ \\ = (x + 1) \\ \\ hope \: that \: it \: helps \: u \: \\ \\ thanks$

Answer 2

(x^2-1)/x-1
Accordingly we can use remainder theorem to get the ans
here x-1=0
x=1 ......(i)
now
p(x)=x^2-1
from (i)
1^2-1=0
thus its exactly divisble by x^2-1


ALTERNATE METHOD
(x^2-1)=(x^2-1^2)=(x+1)(x-1)......(i)

from (i)
(x+1)(x-1)/(x-1)=x+1
hope it helps and be sure to use these 2 methods B-)