(a+1)*(a+2)=a^2+2a+a+2=a^2+3a+2
(a^2+1)*(a^3+2)=a^5+2a^2+a^3+2
125.

1.(a+1)*(a+1)=a^2+a+a+1=a^2+2a+1
2.(x+1)*(x+2)=x^2+2x+x+2=x^2+3x+2
3.(2+y)*(y+3)=2y+6+y^2+3y=5y+6+y^2
4.(a+b)*(a+b)=a^2+ab+ba+b^2=a^2+2ab+b^2
5.(1+x)*(1-x)=1-x+x-x^2=1-x^2
6.(a-2)*(3-a)=3a-a^2-6-2a=5a-a^2-6
7.(x-y)*(x+y)=x^2-xy+yx-y^2=x^2-2xy-y^2
8.(a-b)*(a-b)=a^2-ab-ba-b^2=a^2-2ab-b^2
9.(2a+b)*(a+2b)=2a^2+2*(a+b)+ba+2b^2
10.(3x+2y)*(3x+2y)=9x^2+6xy+6yx+4y^2=9x^2+12xy^2+4y^2
126.

1.(5m+7n)*(2n+4m)=10mn+20m^2+14n^2+28nm=38nm+20m^2+14n^2
2.(12a+b)*(3a+5b)=36a^2+60ab+3ab+5b^2=63ab+36a^2+5b^2
3.(2x-3y)*(2x+3y)=4x^2+6xy-6xy+9y^2=4x^2-9y^2
4.(5m-2n)*(3n-5m)=15mn-25m^2-6n^2-10nm=25nm-25m^2+6n^2
5.(-a-b)*(2a-3b)= -2a^2-(-3ab)-2ab-3b^2= -2a^2-1ab+3b^2
6.(-7x-4y)*(-5x+7y)= -35x^2+49xy-(-20yx)+28y^2= -35x^2+29xy+28y^2
7.(a^2+b^2)*(a^2+b^2)=a^4+2a^2b^2+b^4
8.(mn^3-m^2)*(m-1)=m^2n^3-mn^3-m^3+m^2
9.(2x^2-y^2)*(y^2+2x^3)=2x^2y^2+4x^5-y^4-2x^3y^2
10.(xy^2+3a^2)*(3xy+a^3)=3x^2y^3+xy^2a^3+9a^2xy+3a^5=4x^2y^3+9a^2xy+3a^5