Question

Answer 1

\(a,3x-6=3\left(x-2\right)\\ b,xy-3x+2y-6=\left(xy-3x\right)+\left(2y-6\right)=x\left(y-3\right)+2\left(y-3\right)=\left(x+2\right)\left(y-3\right)\\ c,x^2-y^2+6y-9=x^2-\left(y^2-6y+9\right)=x^2-\left(y-3\right)^2=\left(x-y+3\right)\left(x+y-3\right)\\ d,x^2+2x-15=\left(x^2-3x\right)+\left(5x-15\right)=x\left(x-3\right)+5\left(x-3\right)=\left(x-3\right)\left(x+5\right)\)