Question

Упростите выражение (фото)

Answer 1

$( frac{m ^{2} + 3m}{ {m}^{2} + 3m + 2} - frac{ {m}^{2} - 2m}{m^{2} - 2m - 3} ) div frac{1}{ {m}^{2} - m - 6} - frac{5}{m + 1} = \ ( frac{m(m + 3)}{(m + 1)(m + 2)} - frac{m(m - 2)}{(m - 3)(m + 1)} ) div frac{1}{(m - 3)(m + 2)} - frac{5}{m + 1} = \ frac{m(m + 3)(m - 3)(m + 2)}{( m+ 1)(m + 2)} - frac{m(m - 2) times(m - 3)(m + 2)}{(m - 3)(m + 1)} - frac{5}{m + 1} = \ frac{m(m + 3)(m - 3)}{m + 1} - frac{m(m - 2)( m+ 2)}{m + 1} - frac{5}{m + 1} = \ frac{m( {m}^{2} - 9) - m( {m}^{2} - 4) - 5 }{m + 1} = \ frac{m( {m}^{2} - 9 - {m}^{2} + 4) - 5}{m + 1} = \ frac{m times ( - 5) - 5}{m + 1} = \ frac{ - 5m -5 }{m + 1} = frac{ - 5(m + 1)}{m + 1} = - 5$