a: \(3x^3y^3-6x^2y^2+3xy\)
\(=3xy\cdot x^2y^2-3xy\cdot2xy+3xy\cdot1\)
\(=3xy\left(x^2y^2-2xy+1\right)=3xy\cdot\left(xy-1\right)^2\)
b: \(4x^2-7x+3\)
\(=4x^2-4x-3x+3\)
=4x(x-1)-3(x-1)
=(x-1)(4x-3)
c: \(5x^2+6x-11\)
\(=5x^2+11x-5x-11\)
=x(5x+11)-(5x+11)
=(5x+11)(x-1)
d: \(x^2-2x-15\)
\(=x^2-5x+3x-15\)
=x(x-5)+3(x-5)
=(x-5)(x+3)
e: \(3x^2-7x-6\)
\(=3x^2-9x+2x-6\)
=3x(x-3)+2(x-3)
=(x-3)(3x+2)