`1`
`a, x^2 +2x(y+1)+1+2y+y^2`
`=x^2 +2x(y+1)+(y^2 +2y+1)`
`=x^2 +2x(y+1)+(y+1)^2`
`=(x+y+1)^2`
`b, x^2 +9x+8`
`=x^2 +x+8x+8`
`=(x^2 +x)+(8x+8)`
`=x(x+1)+8(x+1)`
`=(x+1)(x+8)`
`c, x+x-42`
`=2x-42`
`=2(x-21)`
`d, x^2 +9x+8`
`=x^2 +x+8x+8`
`=(x^2 +x)+(8x+8)`
`=x(x+1)+8(x+1)`
`=(x+1)(x+8)`
`2`
`A=2020^5 -2020^3`
`A=2020^3 (2020^2 -1)`
`A=2020^3 (2020-1)(2020+1)`
`A=2020^3 .2019.2021`
Ta có: `2020^3 \vdots2020 , 2019\vdots2019,2021\vdots2021`
`=> 2020^3 .2019.2021\vdots2019.2020.2021`
`=> A\vdots2019.2020.2021`
chúc học tốt