Question

x+3/x-3 - x-3/x+3=1 - x^2/x^2-9​

Answer 1

Answer:

Rewrite

9

as

3

2

.

1

x

−

3

+

x

+

3

x

2

−

3

2

=

2

x

−

3

Since both terms are perfect squares, factor using the difference of squares formula,

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where

a

=

x

and

b

=

3

.

1

x

−

3

+

x

+

3

(

x

+

3

)

(

x

−

3

)

=

2

x

−

3

Reduce the expression

x

+

3

(

x

+

3

)

(

x

−

3

)

by cancelling the common factors.

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1

x

−

3

+

1

x

−

3

=

2

x

−

3