Question

1
1
If a =
1
find (i) a-
1
(ii) a +
a-5
(iii) a2 -
a2
a
a​

Answer 1

if a=. 1

a-5

so,

1/a=. 1/1/(a-5)

=. =. 1×(a-5)/1

=. =. a-5

Now:-

• a-1/a

=. a-(a-5)

=. a-a+5

=. 5. Ans.

a+1/a

=. a+(a-5)

=. a+a-5

=. 2a+5. Ans.

a^2-1/a^2

=. a^2-(a-5)^2

=. a^2-(a^2+25-10a). [(a-b)^2=. a^2+b^2-2ab]

=. a^2-a^2-25+10a

=. 0-25+10a

=. 10a-25. Ans.