Question
Question Factor the expression completely, \[ 12 x+10 \]
Ask by Chen Rose. in the United States
Feb 21,2025
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Tutor-Verified Answer
Answer
\(12x + 10\) can be factored as \(2(6x + 5)\).
Solution
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Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
First, let's look for the greatest common factor (GCF) of the terms in the expression. The GCF of 12 and 10 is 2. We can factor out 2 from the expression, giving us: \[ 12x + 10 = 2(6x + 5) \] Now we have the expression factored completely! To confirm our final expression, we can distribute the 2 back in: \[ 2(6x + 5) = 12x + 10 \] And just like that, we arrive back at our original expression, ensuring that our factoring is correct!