d,\(4x^2-9y^2=\left(2x\right)^2-\left(3y\right)^2=\left(2x-3y\right)\left(2x+3y\right)\)

e,\(25x^2-\dfrac{1}{4}=\left(5x\right)^2-\left(\dfrac{1}{2}\right)^2=\left(5x-\dfrac{1}{2}\right)\left(5x+\dfrac{1}{2}\right)\)

a,\(3xy+6x^2=3x\left(y+2x\right)\)

b,\(-4xy^2+8x^2y=-4xy\left(y-2x\right)\)

c,\(4\left(x+y\right)+x^2+xy=4\left(x+y\right)+x\left(x+y\right)\)\(=\left(4+x\right)\left(x+y\right)\)

B

B

C

A

D

D