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
.
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The simplified expression is .