Задача 66089 Представьте в виде дроби 8d–3/3d(d–c) –...

6342d4d8edc6666d8f06c242

09.10.2022 17:30:25

Представьте в виде дроби 8d–3/3d(d–c) – 24c–9/9c(d–c)

626fab9a354ab65fb2f43abb

09.10.2022 17:47:35

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[m]\frac{8d–3}{3d(d–c)} - \frac{24c–9}{9c(d–c)} = \frac{8d–3}{3d(d–c)} - \frac{8c–3}{3c(d–c)} = \frac{c(8d–3)}{3cd(d–c)} - \frac{d(8c–3)}{3cd(d–c)} =[/m]
[m]=\frac{c(8d–3) - d(8c–3)}{3cd(d–c)} =\frac{8cd–3c - 8cd+3d)}{3cd(d–c)} =\frac{–3c+3d)}{3cd(d–c)} = \frac{3(d-c)}{3cd(d–c)} =\frac{1}{cd}[/m]
Ответ: 1/(cd)