Question

Factorize the following:
2l²mn - 3lm²n + 4lmn²

Answer 1

\[\text{ The greatest common factor of the terms }2 l^2 mn, 3l m^2 n\text{ and }4lm n^2\text{ of the expression }2 l^2 mn - 3l m^2 n + 4lm n^2\text{ is }lmn . \]
\[\text{ Also, we can write }2 l^2 mn = lmn \times 2l, 3l m^2 n = lmn \times 3m and 4lm n^2 = lmn \times 4n . \]
\[ \therefore 2 l^2 nm - 3l m^2 n + 4lm n^2 = lmn \times 2l - lmn \times 3m + lmn \times 4n\]
\[ = lmn(2l - 3m + 4n)\]