Question

6m2-11mn-10n2 in fractionation of algebraic expressions​

Answer 1

$\huge\star\pink{solution}$

$= 6m {}^{2} - 11mn - 10n {}^{2} \\ \\ = 6m {}^{2} + 4mn - 15mn - 10n {}^{2} \\ \\ = 2m(3m + 2n) - 10n(3m + 2) \\ \\ =( 2m - 10n)(3m + 2n) \\ \\ 2m - 10n = 0 \\ \\ = > 2m = 10n \\ \\ = > m = \frac{10n}{2} \\ \\ = > m = 5n \\ \ = > \ n = \frac{m}{5} \\ \\ = > 3m + 2n = 0 \\ \\ = > m = \frac{ - 2n}{3} \\ \\ n = - \frac{3m}{2}$

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