a: (x+3)(x-2)
=x^2-2x+3x-6
=x^2+x-6
b: (x+6)(2x+1)
=2x^2+x+12x+6
=2x^2+13x=6
c: (x-5)(2-x)
=-(x-2)(x-5)
=-(x^2-7x+10)
=-x^2+7x-10
d: (-x+1)(x-2)
=-x^2+2x+x-2
=-x^2+3x-2
e: (-5x-3)(2-x)
=(5x+3)(x+2)
=5x^2+10x+3x+6
=5x^2+13x+6
f: (x+1)(x-2)
=x^2-2x+x-2
=x^2-x-2
a) (x+3)(x-2)=x2+3x-2x-6 =x2+x-6
b) (x+6)(2x+1)= 2x2+12x+x+6 = 2x2+13x+6
c) (x-5)(2-x) = -x2+2x+5x-10= -x2+7x-10
d) (-x+1)(x-2)= -x2+x+2x-2= -x2+3x-2
e) (-5x-3)(2-x) = 5x2-10x+3x-6= 5x2-7x-6
f) (x+1)(x-2) = x2-2x+x-2= x2-x-2