Đáp án+Giải thích các bước giải:
`1)`
`a) (2x-y)^2 +2.(2x-y)+1`
`=(2x-y)^2 +2.(2x-y).1+1^2`
`=(2x-y+1)^2`
`b) (2x-4y)^2 +4x-8y+1`
`=(2x-4y)^2 +2(2x-4y).1 +1^2`
`=(2x-4y+1)^2`
`2)`
`a) A= (5x+5)^2 +10(x-3)(1+x) + x^2 -6x+9`
`=(5x+5)^2 + 2.(5x+5).(x-3)+(x-3)^2`
`=(5x+5+x-3)^2`
`= (6x+2)^2`
`= 36x^2 + 24x +4`
`b) B=((x-1)^2)/4 +x^2-1+(x+1)^2`
`=((x-1)/2)^2 + 2. (x-1)/2 .(x+1) + (x+1)^2`
`= ((x-1)/2 +x+1)^2`
`=((x-1)/2 +(2x)/2 +2/2)^2`
`=((x-1+2x+2)/2)^2`
`=((3x+1)/2)^2`
`=(9x^2 + 6x+1)/4`
`c) C=(x-y-z)^2 +2.(x-y-z).(y+z)+(y+z)^2`
`=(x-y-z+y+z)^2`
`= x^2`