\(a,=7xy\left(2x-3y+4xy\right)\\ b,=\left(3x-\dfrac{1}{3}\right)\left(9x^2+x+\dfrac{1}{9}\right)\\ c,=\left(3x-5\right)\left(x-y\right)\\ d,=\left(x+3\right)\left(x+4\right)\)
a: \(14x^2y-21xy^2+28x^2y^2\)
\(=7xy\left(2x-3y+4xy\right)\)
b: \(27x^3-\dfrac{1}{27}=\left(3x-\dfrac{1}{3}\right)\left(9x^2+x+\dfrac{1}{9}\right)\)
c: \(3x^2-3xy-5x+5y\)
\(=3x\left(x-y\right)-5\left(x-y\right)\)
=(x-y)(3x-5)
d: \(x^2+7x+12=\left(x+3\right)\left(x+4\right)\)