(a+3)(b-7)=ab-7a+3b-21
(a-5)(11-b)=11a-55-ab+5b
(x-4)(x+8)=x^2+8x-4x-32=x^2+4x-32
(x-5)(9-x)=9x-x^2-45+5x
(3a+5)(3a-6)+30=9a^2-18a+15a-30+30=9a^2-3a
8x-(3x+1)(5x+1)=8x-(15x^2+3x+5x+1)=8x-15x^2-8x-1=-15x^2-1
(x-3)(x+5)-(x^2+x)=x^2+5x-3x-15-x^2-x=x
(y+2)(y+3)-y(y-1)=y^2+3y+2y+6-y^2+y=6y+6