Question

#_# 50 points
Factorise

${x}^{3} - 3x {}^{2} + x + 2$
​

Answer 1

Step-by-step explanation:

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Answer 2

Given Expression :-

$\begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: x {}^{3} - 3x {}^{2} + x + 2 } \\ \end{gathered}$

Factorization :-

$\begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: x {}^{3} - 2x {}^{2} - x {}^{2} + x + 2 } \\ \end{gathered}$

$\begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: x {}^{3} - 2x {}^{2} - x {}^{2} + 2x - x + 2} \\ \end{gathered}$

$\begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: x {}^{2} \: \times (x - 2) - x {}^{2} + 2x - x + 2 } \\ \end{gathered}$

$\begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: x {}^{2} \times (x - 2) - x \times (x - 2) - x + 2 } \\ \end{gathered}$

$\begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: x {}^{2} \times (x - 2) - x \times (x - 2) - (x - 2) } \\ \end{gathered}$

$\begin{gathered}\\ \large\dashrightarrow \boxed{\tt { \: \: (x - 2) \times (x {}^{2} - x - 1) } } \\ \end{gathered}$

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