Question

factorize : 2x²- x² - x - 2​

Answer 1

$\underline{ \huge\bf\red{QuestiØn} :}$

Factorise :—

$\boxed{2 {x}^{2} - {x}^{2} - x - 2 }$

$\underline{ \: \huge\bf\green{SolutiØn} \: :}$

$\begin{aligned} & \quad2 {x}^{2} - {x}^{2} - x - 2 \\ \\ & = {x}^{2} - x - 2 \\ \\ & = {x}^{2} - (2 - 1)x - 2 \\ \\ & = {x}^{2} - 2x + x - 2 \\ \\ & = x(x - 2) + 1(x - 2) \\ \\ & = (x - 2)(x + 1) \end{aligned}$

Thus,

$\underline{ \boxed{ \quad2 {x}^{2} - {x}^{2} - x - 2 \ = \ (x - 2)(x + 1) \quad }}$

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$\mid \underline{\underline{\LARGE\bf\green{Brainliest \: Answer}}}\mid$