Đáp án+Giải thích các bước giải:
`1) (x+y)^2+(x-y)^2`
`=x^2+2xy+y^2+x^2-2xy+y^2`
`=(x^2+x^2)+(2xy-2xy)+(y^2+y^2)`
`=2x^2+2y^2`
`2) (2x+3)^2-(x+1)^2`
`=(2x)^2+2.2x.3+3^2-(x^2+2x+1)`
`=4x^2+12x+9-x^2-2x-1`
`=(4x^2-x^2)+(12x-2x)+(9-1)`
`=3x^2+10x+8`
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`2) (2x+3)^2-(x+1)^2`
`=[(2x+3)-(x+1)].[(2x+3)+(x+1)]`
`=(2x+3-x-1).(2x+3+x+1)`
`=(x+2).(3x+4)`
`=3x^2+6x+4x+8`
`=3x^2+10x+8`