Question
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Tutor-Verified Answer
Answer
The expression
factors to
.
Solution
Factor the expression
.
Factor the expression by following steps:
Factor the expression by following steps:
- step0: Factor:
- step1: Rewrite the expression:
- step2: Factor the expression:
- step3: Evaluate:
The factored form of the expressionis .
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The Deep Dive
To factor the expression
, we can recognize that this represents a difference of cubes. Remember that
and
, so we can rewrite the expression as:
Using the difference of cubes formula, which states
, we identify
and
. Substituting these into the formula gives us:
- The first factor is
. - The second factor is
: -
Putting it all together, we have:
So, the final factored form of
is: