Toán rút gọn C=(y/2-1/2y)^2 . (y-1/y+1 – y+1/y-1) 08/09/2021 By Ximena rút gọn C=(y/2-1/2y)^2 . (y-1/y+1 – y+1/y-1)
$C = (\frac{y}{2} – \frac{1}{2y})^2 . (\frac{y – 1}{y + 1} – \frac{y + 1}{y – 1}$ $= (\frac{y^2-1}{2y})^2 . \frac{(y – 1)^2 – (y + 1)^2}{(y + 1)(y – 1)}$ $= \frac{(y – 1)^2 . (y + 1)^2}{4y^2} . \frac{y^2 – 2y +1 – y^2 – 2y -1}{(y + 1)(y – 1)}$ $= \frac{(y – 1)^2 . (y + 1)^2}{4y^2} . \frac{- 4y}{(y + 1)(y – 1)}$ $= \frac{(y – 1)^2 . (y + 1)^2.(-4)y}{4y^2.(y + 1)(y – 1)}$ $= \frac{(1 – y)(y + 1)}{y}$ Trả lời
Đáp án: `[(1-y)(1+y)]/y` Giải thích các bước giải: ` C=(y/2-1/(2y))^2 . ((y-1)/(y+1) – (y+1)/(y-1))` `=((y^2-1)/(2y))^2.(((y-1)^2-(y+1)^2)/(y^2-1))` `=(y^2-1)^2/(4y^2).(-4y)/(y^2-1)` `=(-y^2+1)/[y` `=[(y+1)(1-y)]/[y` Trả lời
$C = (\frac{y}{2} – \frac{1}{2y})^2 . (\frac{y – 1}{y + 1} – \frac{y + 1}{y – 1}$
$= (\frac{y^2-1}{2y})^2 . \frac{(y – 1)^2 – (y + 1)^2}{(y + 1)(y – 1)}$
$= \frac{(y – 1)^2 . (y + 1)^2}{4y^2} . \frac{y^2 – 2y +1 – y^2 – 2y -1}{(y + 1)(y – 1)}$
$= \frac{(y – 1)^2 . (y + 1)^2}{4y^2} . \frac{- 4y}{(y + 1)(y – 1)}$
$= \frac{(y – 1)^2 . (y + 1)^2.(-4)y}{4y^2.(y + 1)(y – 1)}$
$= \frac{(1 – y)(y + 1)}{y}$
Đáp án: `[(1-y)(1+y)]/y`
Giải thích các bước giải:
` C=(y/2-1/(2y))^2 . ((y-1)/(y+1) – (y+1)/(y-1))`
`=((y^2-1)/(2y))^2.(((y-1)^2-(y+1)^2)/(y^2-1))`
`=(y^2-1)^2/(4y^2).(-4y)/(y^2-1)`
`=(-y^2+1)/[y`
`=[(y+1)(1-y)]/[y`