Question
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Tutor-Verified Answer
Answer
The simplified form is
.
Solution
Calculate or simplify the expression
.
Simplify the expression by following steps:
Simplify the expression by following steps:
- step0: Solution:
- step1: Remove the parentheses:
- step2: Rewrite the expression:
- step3: Calculate:
- step4: Reduce the fraction:
The simplified form of the expressionis .
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Beyond the Answer
Sure! Let’s dive a bit deeper into this expression.
First, we can rewrite the numerator
as
. So now the expression looks like
. This resembles the difference of squares, which is
, where in our case
and
. This means we can factor the numerator as
.
Next, we simplify! The denominator is
, which we can cancel with the factor in the numerator. This leaves us with the simplified expression:
, assuming
(which is always true since
is positive). Voilà! Now you’ve got a much simpler expression to work with!