Question
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Factor completely.
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Ask by Osborne Summers. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The expression factors to .

Solution

Factor the expression .
Factor the expression by following steps:
  • step0: Factor:
  • step1: Rewrite the expression:
  • step2: Factor the expression:
  • step3: Factor the expression:

    The factored form of the expression is .

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Bonus Knowledge

To factor completely, we can start by looking for a common factor in all the terms. Notice that 3 is a common factor, so we factor that out first:
Next, we need to factor the quadratic . To do this, we can either use the quadratic formula or look for two numbers that multiply to and add up to -7. The numbers -9 and 2 fit this, so we can rewrite the middle term:
Now, we can group the terms:
Factoring by grouping gives us:
Thus, we can factor out :
Putting it all together, we factor the original expression as:
So, the completely factored form of is:

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