1) (x-4)² +8(x-2)=x^2-8x+16+8x-16=x^2;2) x²+4-(x+2)²=x^2+4-(x^2+2x+4)=x^2+4-x^2-2x-4=-2x;3) (x²+5)²-x²(x²+10)-50=x^4+10x^2+25-x^4-10x^2-50=25-50=-25;4) (x+2)²-(x-2)²=x^2+2x+4-(x^2-2x+4)=x^2+2x+4-x^2+2x-4=2x+2x=4x;5)(4x-5)²-4x(4x-9)-25=16x^2-40x+25-16x^2+36x-25=-40x+36x=-4x;6)4(x²+1)-4(1-x)²=4x^2+4-4*(1-2x+x^2)=4x^2+4-4+8x-4x^2=8x;7) (2x+1)²-(x+1)(3x+1)=4x^2+4x+1-(3x^2+x+3x+1)=4x^2+4x+1-(3x^2+4x+1)=4x^2+4x+1-3x^2-4x-1=4x^2-3x^2=x^2.Ответ: 1)x^2; 2)-2х; 3)-25; 4) 4х; 5) -4х; 6) 8х; 7)x^2.