ae cíuu
\(x^4-9x^3+x^2-9x\\ =x^3\left(x-9\right)+x\left(x-9\right)\\ =\left(x^3+x\right)\left(x-9\right)=x\left(x^2+1\right)\left(x-9\right)\\ ---\\ x^2-9-x^2\left(x^2-9\right)\\ =\left(x^2-9\right)-x^2\left(x^2-9\right)\\ =\left(x^2-9\right)\left(1-x^2\right)=\left(1-x\right)\left(1+x\right)\left(x-3\right)\left(x+3\right)\\ ---\\ xz+yz-5x-5y=z\left(x+y\right)-5\left(x+y\right)\\ =\left(z-5\right)\left(x+y\right)\\ ---\\ x^3-2x+y^3-2y\\ =\left(x^3+y^3\right)-2\left(x+y\right)=\left(x+y\right)\left(x^2-xy+y^2\right)-2\left(x+y\right)\\ =\left(x+y\right)\left(x^2-xy+y^2-2\right)\)
\(45+x^3-5x^2-9x\\ =x^2\left(x-5\right)-9\left(x-5\right)\\ =\left(x^2-9\right)\left(x-5\right)=\left(x-3\right)\left(x+3\right)\left(x-5\right)\\ ---\\ x^2-y^2-2x-2y\\ =\left(x^2-y^2\right)-\left(2x+2y\right)\\ =\left(x-y\right)\left(x+y\right)-2\left(x+y\right)\\ =\left(x+y\right)\left(x-y-2\right)\\ ---\\ x^3+7x^2-4x-28\\ =x^2\left(x+7\right)-4\left(x+7\right)\\ =\left(x+7\right)\left(x^2-4\right)=\left(x+7\right)\left(x-2\right)\left(x+2\right)\\ ---\\ 8x^3-y^3-4x+2y=\left(8x^3-y^3\right)-2\left(2x-y\right)\\ =\left(2x-y\right)\left(4x^2+2xy+y^2\right)-2\left(2x-y\right)\\ =\left(2x-y\right)\left(4x^2+2xy+y^2-2\right)\)
