Question
1) \( \frac{3 p^{2}-6 p}{p} \)
Ask by Bird Simpson. in South Africa
Feb 03,2025
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Tutor-Verified Answer
Answer
The simplified form of \( \frac{3 p^{2} - 6 p}{p} \) is \( 3(p - 2) \) or \( 3p - 6 \) (when \( p \neq 0 \)).
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Beyond the Answer
To simplify \( \frac{3 p^{2}-6 p}{p} \), start by factoring the numerator. You can factor out a common term: \[ 3p(p - 2) \] Now, the expression looks like: \[ \frac{3p(p - 2)}{p} \] Since there is a \( p \) in both the numerator and denominator, you can cancel it out (as long as \( p \neq 0 \)). This gives you: \[ 3(p - 2) \] So, the simplified form is: \[ 3(p - 2) \] Just keep in mind that \( p\) cannot be zero in the original expression!