Question

Упростите выражение:
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Answer 1

$\displaystyle\bf\\\frac{d-2}{6} \cdot\Big(\frac{14+d^{2} }{d^{2} -4} -\frac{d-4}{d+2} \Big)=\frac{d-2}{6} \cdot\frac{14+d^{2}-(d-4)\cdot(d-2) }{(d-2)(d+2)} =\\\\\\=\frac{14+d^{2}-d^{2}+2d+4d-8 }{6\cdot(d+2)} =\frac{6d+6}{6\cdot(d+2)} =\frac{6\cdot(d+1)}{6\cdot(d+2)} =\frac{d+1}{d+2}$