Question

Factorise x cube -2x square -x +2

Answer 1

Answer:

$\sf \mathbb{ANSWER:-}$

$\sf \implies x^3 - 2x^2 -x +2$

$\sf \implies x^2(x - 2)-(x-2)$

$\sf \implies (x^2-1)(x-2)$

$\sf \implies (x^2-(1)^2)(x-2)$

$\sf \implies (x-1)(x+1)(x-2)$

Step-by-step explanation:

$\sf \orange{\underline{ \bigstar Concept \: used:-}}$

★Step 2:

$\sf -a+b = -(a-b)$

★Step 4:

• 1 can be cube or square of 1, or any times 1 can be multiplied by itself.

★Step 5:

$\sf a^2 - b^2=(a-b)(a+b)$

Hope it helps