Simplify; \(\frac{2 - 18m^2}{1 + 3m}\)
Question 1 Report
Simplify; \(\frac{2 - 18m^2}{1 + 3m}\)
Answer Details
To simplify \(\frac{2-18m^2}{1+3m}\), we need to factor the numerator and denominator.
First, we can factor out a 2 from the numerator:
\[\frac{2-18m^2}{1+3m} = \frac{2(1-9m^2)}{1+3m}\]
Next, we can factor the numerator further using the difference of squares formula:
\[\frac{2(1-9m^2)}{1+3m} = \frac{2(1-3m)(1+3m)}{1+3m}\]
Finally, we can cancel out the common factor of \((1+3m)\) in the numerator and denominator:
\[\frac{2(1-3m)(1+3m)}{1+3m} = 2(1-3m)\]
Therefore, the simplified form of \(\frac{2-18m^2}{1+3m}\) is \(2(1-3m)\).
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