\(a,=x^3+3x^2+3x+1-x\left(x^2-4x+4\right)-1\\ =x^3+3x^2+3x+1-x^3+4x^2-4x-1\\ =7x^2-x\\ b,=\left[\left(x+1\right)\left(x^2-x+1\right)\right]\left[\left(x-1\right)\left(x^2+x+1\right)\right]\\ =\left(x^3+1\right)\left(x^3-1\right)=x^6-1\\ c,=8a^3+12a^2+6a+1\\ d,=27a^2-54a^2b+36ab^2-8b^2\)
a) \(=x^3+3x^2+3x+1-x^3+4x^2-4x-1=7x^2-x\)
b) \(=\left[\left(x+1\right)\left(x^2-x+1\right)\right]\left[\left(x-1\right)\left(x^2+x+1\right)\right]=\left(x^3+1\right)\left(x^3-1\right)=x^6-1\)
c) \(\left(2a+1\right)^3=8a^3+8a^2+6a+1\)
d) \(\left(3a-2b\right)^3=27a^3-54a^2b+36ab^2-8b^3\)
