a: =x^2-4xy+4y^2
b: =4x^4+12x^2+9
c : =x^3-2^3=x^3-8
d: =(2x)^3-3*(2x)^2+3*2x-1
=8x^3-12x^2+6x-1
a) \(\left(x-2y\right)^2=x^2-2.x.2y+\left(2y\right)^2=x^2-4xy+4y^2\)
b) \(\left(2x^2+3\right)^2=\left(2x^2\right)^2+2.2x^2.3+3^2=4x^4+12x^2+9\)
c) \(\left(x-2\right)\left(x^2+2x+4\right)=\left(x-2\right)\left(x^2+x.2+2^2\right)=x^3-2^3=x^3-8\)
d) \(\left(2x-1\right)^3=\left(2x\right)^3-3.\left(2x\right)^2.1+3.2x.1^2-1^3=8x^3-12x^2+6x-1\)