Question

Rút gọn biểu thức

Answer 1

\(B=\dfrac{1}{2}y+\dfrac{3}{4}\cdot\left|2y-1\right|-\dfrac{3}{2}\)

=1/2y-3/2+3/4(1-2y)(y<=1/2)

=1/2y-3/2+3/4-3/2y

=-y-3/4

Answer 2

Lời giải:

$B=\frac{y}{2}+\frac{3}{4}\sqrt{(2y-1)^2}-\frac{3}{2}$

$=\frac{y}{2}+\frac{3}{4}|2y-1|-\frac{3}{2}$

$=\frac{y}{2}+\frac{3}{4}(1-2y)-\frac{3}{2}$ (do $2y-1\leq 0$)

$=-(\frac{3}{4}+y)