Question

Factorise xcube+2xsquare-x-2

Answer 1

Answer:

$x^3+2x^2-x-2\\\\\implies x^2(x+2)-(x+2)\\\\\implies (x+2)(x^2-1)\\\\Now \:\:x^2-1\:\:is\:\:in\:\:the\:\:form\:\:of\:\:(a^2-b^2)\\\\ \implies (x+2)(x+1)(x-1)$