a, \(\left(3+xy^2\right)^2=9+x^2y^4+6xy^2\)
b, \(\left(10-2m^2n\right)^2\)
\(=100+40m^2n-4m^4n^2\)
c, \(\left(a-b^2\right)\left(a+b^2\right)=a^2-b^4\)
\(a)\left(3+xy^2\right)^2=3^2+2.3.xy^2+\left(xy^2\right)^2=9+6xy^2+x^2y^4\\ b)\left(10-2m^2n\right)^2=10^2-2.10.2m^2n+\left(2m^2n\right)^2=100-40m^2n+4m^4n^2\\ c)\left(a-b^2\right)\left(a+b^2\right)=a^2-\left(b^2\right)^2=a^2-b^4\)