Simplify \(\frac{2-18m^2}{1+3m}\)
Question 1 Report
Simplify \(\frac{2-18m^2}{1+3m}\)
Answer Details
To simplify the given expression, we need to factorize the numerator and denominator, then cancel out any common factors.
The numerator can be factorized as the difference of two squares:
2 - 18m^2 = 2(1 - 9m^2) = 2(1 + 3m)(1 - 3m)
The denominator is already factorized:
1 + 3m
Now we can cancel out the common factor of (1 + 3m) from the numerator and denominator:
\[\frac{2-18m^2}{1+3m} = \frac{2(1+3m)(1-3m)}{1+3m} = 2(1-3m)\]
Therefore, the simplified form of the expression is 2(1-3m).
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