1)(x+8)²-16x=x²+16x+64-16x=x²+64
2)48y+(3y-8)²=48y+9y²-48y+64=9y²+64
3)3m(m+2)-(m+3)²=3m²+6m-m²-6m-9=2m²-9
4)6(a+2b)²-24ab=6(a²+4ab+4b²)-24ab=6a²+24ab+24b²-24ab=6a²+24b²
5)(x+y)(x-y)+y(y-2x)=x²-y²+y²-2xy=x²-2xy=x(x-2y)
6)(5-2x)(5+2x)+4x(x-6)=5²-(2x)²+4x²-24x=25-4x²+4x²-24x=25-24x
7)(0,6-7x)(0,6+7x)+(1+7x)²=(0,6)²-(7x)²+1+14x+49x²=0,36-49x²+1+14x+49x²=14x+1,36
8)6x²-(x-0,5)(x+0,5)=6x²-x²+0,25=5x²+0,25=0,25(20x²+1)
9)(8p-q)(q+8p)-(p+q)(p-q)=(8p)²-q²-p²+q²=64p²-p²=63p²
10)(q-5)(q+1)-(a-6)(a-1)=q²+q-5q-5-(a²-a-6a+6)=q²-4q-5-a²+a+6a-6=q²-4q-11-a²+7a=q(q-4)-11+a(7-a)
Ну, кажется, так...