Question

用因式分解法解下列方程y减1括住的平方加2y乘以1减y括住等于0

Answer 1

（y-1)^2 +2y(1-y)=0
(y-1)^2-2y(y-1)=0
(y-1)(y-1-2y)=0
(y-1)(-1-y)=0
y-1=0或-1-y=0
解得y=1或y=-1

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Answer 2

(y-1)²+2y(y-1)=0
(y-1)[(y-1)+2y]=0
(y-1)(3y-1)=0
y-1=0或3y-1=0
y=1或y=1/3

Answer 3

(y-1)^2+2y(1-y)=0
(y-1)(y-1-2y)=0
(y-1)(y+1)=0
y=1或y=-1