\(a,6x^3+9x^2=3x^2\left(2x+3\right)\\ b,x^3-2x^2+x-2=x^2\left(x-2\right)+\left(x-2\right)=\left(x^2+1\right)\left(x-2\right)\\ c,x^2-7x+6=\left(x-1\right)\left(x-6\right)\\ d,x^2+8x+16-y^2=\left(x+4\right)^2-y^2=\left(x-y+4\right)\left(x+y+4\right)\)
a: \(6x^3+9x^2=3x^2\left(2x+3\right)\)
b: \(x^3-2x^2+x-2=\left(x-2\right)\left(x^2+1\right)\)
c: \(x^2-7x+6=\left(x-1\right)\left(x-6\right)\)
d: \(x^2+8x+16-y^2=\left(x+4-y\right)\left(x+4+y\right)\)