`(x+1)^2-(x-1)^2+3(x+1)(x-1)`
`=(x+1+x-1)(x+1-x+1)+3(x^2-1)`
`=2x.2+3x^2-3`
`=3x^2+4x-3`
Lời giải:
$(x+1)^2-(x-1)^2-3(x+1)x(x-1)$
$=(x+1-x+1)(x+1+x-1)-3x(x^2-1)$
$=4x-3x(x^2-1)=x[4-3(x^2-1)]=x(7-3x^2)$
Ta có: \(\left(x+1\right)^2-\left(x-1\right)^2-3\left(x+1\right)\left(x-1\right)\)
\(=x^2+2x+1-x^2+2x-1-3x^2+3\)
\(=-3x^2+4x+3\)