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: Calculate:
- step3: Rewrite the expression:
- step4: Factor the expression:
- step5: Factor the expression:
The factored form of the expressionis .
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Bonus Knowledge
To factor the quadratic expression
, we can look for two numbers that multiply to
(the product of the coefficient of
and the constant term) and add to
(the coefficient of
). The numbers
and
fit this requirement because:
Now, we can rewrite the expression:
Next, we group the terms:
Factoring out the common terms in each group gives us:
Now we can factor out the common binomial factor
:
Thus, the factorization of
is: