Question

x³+2x²-x-2 factorise​

Answer 1

$\huge\underline{\underline{\red{\mathfrak{AnSweR:-}}}}$

$\sf\underline{\blue{Given:-}}$

$\sf x{}^{3}+2x{}^{2}-x-2$

We have to factorize this

Now

$\sf\underline{\purple{A.T.Q:-}}$

$\sf \implies x{}^{3}+2x{}^{2}-x-2\\ \\\ \sf\:\: take\:x{}^{2}\:\:as\: common\\ \\ \sf\implies x{}^{2}(x+2)-x-2\\ \\ \sf\:\: take\:(-1)\:\:as\: common\\ \\ \sf\implies x{}^{2}(x+2)-1(x+2)\\ \\ \sf\implies (x+2)(x{}^{2}-1)\\ \\ \sf\:it\:is\:in\:form\:of\:a{}^{2}-b{}^{2}\\ \\ \sf\:\:\:(a+b)(a-b)\\ \\ \sf\implies (x+2)( x+1)(x-1)$

$\boxed{\sf{(x+2)(x+1)(x-1)}}$