Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
Factor the expression
.
Factor the expression by following steps:
Factor the expression by following steps:
- step0: Factor:
- step1: Factor the expression:
- step2: Factor the expression:
The factored form ofis .
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg


The Deep Dive
To factor the expression
, we first notice that both terms share a common factor of
. Factoring out
gives us:
Next, we observe that
and
can be recognized as a difference of cubes since
and
. We can use the factorization formula for the difference of cubes, which states that
.
Here, we identify
and
:
Simplifying this yields:
Now, substituting this back into our earlier expression gives us the complete factorization: