a) `(2x + 3)^2 = (2x + 3)(2x + 3)`

`= 2^2*x^2 + 3*2x*2 + 3^2`

`=4x^2 + 12x + 9`

b) `(x - 5y)^2= (x - 5y)(x - 5y)`

`= x^2 - 5y*x*2 + 5^2*y^2`

`=x^2 - 10xy + 25y^2`

c) `(3x - 2y)(3x + 2y)`

`= (3x(3x + 2y) - 2y(3x + 2y))`

\(=9x^{2}+6xy-6xy-4y^{2}\)

\(=9x^{2}-4y^{2}\)

d) `( x + 2)^3`

`= (x + 2)(x + 2)(x + 2)`

`= x^3 + 2^2*x + x^2 *2 + 2^3`

`=x^3 + 4x + 2x^2 + 8`

e) `(2x - y)^3`

`= (2x - y)(2x - y)(2x - y)`

`= (2x)^3 - 2x*y^2 + (2x)^2*y - y^3`

`= 8x^3 - 2xy^2 + 8x^2y - y^3`