Đáp án + Giải thích các bước giải:
`1.` `(x+2)^2+(3-x)^2`
`=x^2+4x+4+9-6x+x^2`
`=2x^2-2x+13`
`2.` `(4-x)^2-(x-3)^2`
`=[(4-x)-(x-3)][(4-x)+(x-3)]`
`=(4-x-x+3)(4-x+x-3)`
`=(7-2x)*1=7-2x`
`3.` `(x-5)(x+5)-(x+5)^2`
`=(x+5)[(x-5)-(x+5)]`
`=(x+5)(x-5-x-5)`
`=(x+5)(-10)=-10x-50`
`4.` `(x-3)^2-(x-4)(x+4)`
`=x^2-6x+9-(x^2-16)`
`=x^2-6x+9-x^2+16=-6x+25`
`5.` `y^2-6y+9-(3-y)^2`
`=(y-3)^2-(3-y)^2`
`=[(y-3)-(3-y)][(y-3)+(3-y)]`
`=(y-3-3+y)(y-3+3-y)`
`=(2y-6)*0=0`
`6.` `(2x+3)^2-(2x-3)(2x+3)`
`=(2x+3)[(2x+3)-(2x-3)]`
`=(2x+3)(2x+3-2x+3)`
`=(2x+3)*6=12x+18`.