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: Factor the expression:
The factored form of the expressionis .
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Extra Insights
To factor the expression
completely, we first notice that each term is divisible by 14, the greatest common divisor. Factoring that out gives us:
Next, we need to factor the quadratic expression
. Looking for two numbers that multiply to
and add up to 12, we find 5 and 7. We can rewrite the expression as:
Now, we can group the terms:
Factoring by grouping, we get:
Now, we can factor out the common term
:
Putting it all together, the complete factorization of the original expression is: