Выполните действия.а) [latex] \frac{t}{3-t} [/latex] - [latex] \frac{3}{3-t} [/latex]б) [latex] \frac{c+d}{c-d} [/latex] * [latex] \frac{c-d}{c(c+d)} [/latex]в) [latex] \frac{a-b}{c+d} [/latex] : [latex] \frac{3(a-b)}{a(c+d)} [...
Выполните действия.
а) [latex] \frac{t}{3-t} [/latex] - [latex] \frac{3}{3-t} [/latex]
б) [latex] \frac{c+d}{c-d} [/latex] * [latex] \frac{c-d}{c(c+d)} [/latex]
в) [latex] \frac{a-b}{c+d} [/latex] : [latex] \frac{3(a-b)}{a(c+d)} [/latex]
г) [latex] \frac{(3a)^{2} }{(4b)} [/latex]
Ответ(ы) на вопрос:
[latex] \frac{t}{3-t} - \frac{3}{3-t}= \frac{t-3}{3-t} =-1 \\\ \frac{c+d}{c-d} \cdot\frac{c-d}{c(c+d)}= \frac{(c+d)(c-d)}{(c-d)(c+d)c} = \frac{1}{c} [/latex]
[latex] \frac{a-b}{c+d} : \frac{3(a-b)}{a(c+d)}= \frac{(a-b)a(c+d)}{(c+d)3(a-b)} = \frac{a}{3} \\\ \frac{(3a)^{2} }{(4b)} = \frac{9a^{2} }{4b} [/latex]
1) t/(3-t)-3/(3-t)=(t-3)/(3-t)=-1
2/ (c+d)/(c-d)*(c-d)/c(c+d)=1/c
3) (a-b)/(c+d) : 3(a-b)/a(c+d) = (a-b)/(c+d) *a(c+d)/3(a-b)=a/3
4) (3a/4b)^2=9a^2/16b^2
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