\(a.\left(x-2\right)^3=x^3-3.x^2.2+3.x.2^2-2^3=x^3-6x^2+12x-8\)
\(b.\left(x+3\right)^3=x^3+3.x^2.2+3.x.2^2+2^3=x^3+6x^2+12x+8\)
\(c.\left(2x+3\right)^2=\left(2x\right)^2+2.2x.3+3^2=4x^2+12x+9\)
\(d.\left(\dfrac{1}{2}.3y\right)^3+x-1=\left(\dfrac{3}{2}y\right)^3+x-1=\dfrac{27}{8}y+x-1\)