Rút gọn biểu thức $\color{black}{P=\frac{1}{2}-\frac{1}{2}.(x:\frac{1}{6}-\frac{1}{4})-2.|3x-2|}$ khi:
a,$\color{black}{x≥\frac{2}{3}}$
a,$\color{black}{x<\frac{2}{3}}$
Rút gọn biểu thức $\color{black}{P=\frac{1}{2}-\frac{1}{2}.(x:\frac{1}{6}-\frac{1}{4})-2.|3x-2|}$ khi:
a,$\color{black}{x≥\frac{2}{3}}$
a,$\color{black}{x<\frac{2}{3}}$
$P=\dfrac{1}{2}-\dfrac{1}{2}(6x-\dfrac{1}{4})-2|3x-2|$
$=\dfrac{1}{2}-3x+\dfrac{1}{8}-2|3x-2|$
$=-3x+\dfrac{5}{8}-2|3x-2|$
a $x\ge \dfrac{2}{3}\Leftrightarrow 3x-2\ge 0$
$P=-3x+\dfrac{5}{8}-2(3x-2)$
$=-3x+\dfrac{5}{8}-6x+4$
$=-9x+\dfrac{37}{8}$
b, $x<\dfrac{2}{3}\Leftrightarrow 3x-2<0$
$P=-3x+\dfrac{5}{8}+2(3x-2)$
$=-3x+\dfrac{5}{8}+6x-4$
$=3x-\dfrac{27}{8}$