\(4x+2xy=2x\left(2+y\right)\)
\(x^2-9y^2=x^2-\left(3y\right)^2=\left(x-3y\right)\left(x+3y\right)\)
\(2x^3+5x^2-7x=x\left(2x^2+5x-7\right)=x\left(2x^2-2x+7x-7\right)=x\left[2x\left(x-1\right)+7\left(x-1\right)\right]=x\left(x-1\right)\left(2x+7\right)\)
a: =2x(2+y)
b: =(x-3y)(x+3y)
c: =x(2x+7)(x-1)