Question

factorise x³-3x²+3x-2​

Answer 1

$\huge{ \sf \color{lightgrey}{answer} \color{lightpink}{\ :}}$

$\begin{aligned} & \quad \: \: {x}^{3} - 3 {x}^{2} + 3x - 2 \\ &= {x}^{3} - {x}^{2} - 2 {x}^{2} + x + 2x 2 \\ &= {x}^{3} - {x}^{2} + x - 2 {x}^{2} + 2x - 2 \\ &= x( {x}^{2} - x + 1 ) - 2( {x}^{2} - x + 1) \\ &= (x - 2)( {x}^{2} - x + 1) \end{aligned}$

$\\ \\ \\ \boxed{\quad \quad } \\ \\ \\ \\ \\ \\ \\ \sf☆ \: Thank \: You! \: ☆$