1/a-b +1/b-a =? find the value
Answers
Answer:
1/a-b+1/b-a solve this by taking lcm=b-a+a-b/(a-b)(b-a) solve this u will get your required answer
Step-by-step explanation:
QUESTION :
1/a-b +1/b-a =? find the value
ANSWER :
1/a-b +1/b-a
= (1/(a-b)) + (1/(b-a))
now by taking minus sign in common
we get
(1/(a-b)) + (1/(b-a))
= (1/(a-b)) + (1/-(-b+a))
= (1/(a-b)) + (1/-(a-b))
but as we know that
X/(-y) = -(X)/y
so we get
(1/(a-b)) + (1/-(a-b))
= (1/(a-b)) + (-1/(a-b))
= (1/(a-b)) -(1/(a-b))
now as denominator are same
(1/(a-b)) -(1/(a-b))
= (1-1)/(a-b)
= 0/(a-b)
but as we know that
zero divided by anything except 0 is 0
so
0/(a-b)
= 0
hence
(1/(a-b)) + (1/(b-a))= 0
NOTE :
While solving such questions
try to find some similarities between the terms
as we find in the given question that the terms were same but differ in sign
so we make the sign which were needed to us by taking minus sign common