1 \(=x^3+3x^2y+3xy^2+y^3+x^3-3x^2y+3xy^2-y^3\)
\(=2x^3+6xy^2\)
2: \(=27x^3+27x^2+9x+1\)
`1)`\(\left(x+y\right)^3+\left(x-y\right)^3\)
\(=x^3+3x^2y+3xy^2+y^3+x^3-3x^2y+3xy^2-y^3\)
\(=2x^3+6xy^2\)
`2)`\(\left(3x+1\right)^3\)
\(=\left(3x\right)^3+3.\left(3x\right)^2.1+3.3x.1+1^3\)
\(=27x^3+27x^2+9x+1\)