Question

factorise 12-(x+x^2) (8-x-x^2)​

Answer 1

$12 -( x + {x}^{2} )(8 - x - {x}^{2} )$

=$12 - 8(x + {x}^{2} ) + (x + {x}^{2} ) ^{2}$

=$(x + {x}^{2} - 2)(x + {x}^{2} - 6)$

=$(x - 1)(x + 2)(x - 3)(x + 5)$

Finally

=$12 - (x +{x}^{2} )(8 - x - {x}^{2})$

=$(x - 1)(x - 2)( x + 2)(x + 3)$