Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Factorize:
$2 L^2 m n-3 L m^2 n+4 L m^2$
✓
Answer
The greatest common factor of the term
$2 L^2 m n-3 L m^2 n$ and $4 L m n^2$ of the expression
$2 L^2 mn -3 Lm ^2 n +4 Lmn ^2$ is Lmn .
Also, we can write $2 L^2 mn = Lmn .2 L, 3 Lm ^2 n = Lmn .4 Lmn ^2= Lmn .4 n$
Therefore, $2 L^2 mn -3 Lm ^2 n +4 Lmn ^2=( Lmn .2 L)-( Lmn .3 m)+( Lmn .4 n )$
$=\operatorname{Lmn}(2 L-3 m+4 n)$
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