The expression is
.
Multiply by
, the reciprocal of
.


Factors of the denominator
.
To find two numbers, m and n, with the product of 1·
or
and the sum of
.
The correct factors are
and 5.
(Write the factors form)
(Substitute m =
, and n = 5)
(Group terms with common factors)
(Factor the GCF from each grouping terms)
(Take out common factor
)
Factors of the denominator
.
To find two numbers, m and n, with the product of 1·
or
and the sum of
.
The correct factors are
and 3.
(Write the factors form)
(Substitute m =
, and n = 3)
(Group terms with common factors)
(Factor the GCF from each grouping terms)
(Take out common factor (x
))
Factors of the numerator
.
To find two numbers, m and n, with the product of 1·
or
and the sum of 2.
The correct factors are 5 and
.
(Write the factors form)
(Substitute m = 5, and n =
)
(Group terms with common factors)
(Factor the GCF from each grouping terms)
(Take out common factor
)
Factors of the numerator
.
To find two numbers, m and n, with the product of 1·
or
and the sum of
.
The correct factors are
and 4.
(Write the factors form)
(Substitute m =
, and n = 4)
(Group terms with common factors)
(Factor the GCF from each grouping terms)
(Take out common factor
)
Substitute factors of 
, 
,
and 
.

\


The simplified expression is
.