`2x^2+7x-9`
`=2x^2+9x-2x-9`
`=x(2x+9)-(2x+9)`
`=(2x+9)(x-1)`
\(2x^2+9x-2x-9=\left(2x^2-2x\right)+\left(9x-9\right)=2x\left(x-1\right)+9\left(x-1\right)=\left(x-1\right)\left(2x+9\right)\)
\(1,\\ =2x^2+9x-2x-9\\ =x\left(2x+9\right)-\left(2x+9\right)\\ =\left(x-1\right)\left(2x+9\right)\\ 2,\\ =x^3\left(x^2-1\right)-\left(x^2-1\right)\\ =\left(x^3-1\right)\left(x^2-1\right)\\ =\left(x-1\right)\left(x^2+x+1\right)\left(x-1\right)\left(x+1\right)\\ =\left(x-1\right)\left(x^2+x+1+x+1\right)\\ =\left(x-1\right)\left(x^2+2x+2\right)\)