Question
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Factor completely.
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Ask by Wells Bond. in the United States
Mar 21,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The expression factors to .

Solution

Factor the expression .
Factor the expression by following steps:
  • step0: Factor:
  • step1: Factor the expression:

    The factored form of the expression is .

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Simplify this solution

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:

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