\(a,x^2-2xy+y^2=\left(x-y\right)^2\)
\(b,\left(x+1\right)\left(x^2-x+1\right)=x^3+1\)
\(c,\left(3x-5y\right)^3=27x^3-135x^2y+225xy^2-125y^3\)\(d,8-125a^3=\left(2-5a\right)\left(4+10a+25a^2\right)\)
\(e,\left(9x+y\right)\left(9x-y\right)=81x^2-y^2\)
\(f,\left(x+3\right)^3=x^3+3x^2+9x+27\)