Question

Спростіть вираз - б) 86

Answer 1

$\displaystyle\bf\\\frac{12-y}{6y-36} -\frac{6}{y^{2} -6y} =\frac{12-y}{6(y-6)} -\frac{6}{y(y-6)} =\\\\\\=\frac{(12-y)\cdot y-6\cdot 6}{6y(y-6)} =\frac{12y-y^{2} -36}{6y(y-6)} =\\\\\\=-\frac{y^{2}-12y+36 }{6y(y-6)} =-\frac{(y-6)^{2} }{6y(y-6)} =\\\\\\=-\frac{y-6}{6y} =\frac{6-y}{6y}$