a, \(\left(x+3y\right)^2=x^2+6xy+3y^2\)
b,\(\left(3x-2y\right)^2=\left(3x\right)^2-2.3x.2y+\left(2y\right)^2=9x^2-12xy+4y^2\)
c,\(4x^2-25y^2=\left(2x\right)^2-\left(5y\right)^2=\left(2x-5y\right)\left(2x+5y\right)\)
d, \(\left(x+2y\right)^3=x^3+6x^2y+12xy^2+8y^3\)
e,\(\left(3x-y\right)^3=27x^3-27x^2+3xy^2-y^3\)
f,\(x^3+8y^3=\left(x+2y\right)\left[x^2-2xy+4y^2\right]\)
g,\(27x^3-y^3=\left(3x-y\right)\left(9x^2+3xy+y^2\right)\)