Răspuns:
[tex]$\mathbf{x {}^{4} - 12x {}^{3} + 53x {}^{2} - 102x + 60 }$[/tex]
Explicație pas cu pas:
[tex]$\mathbf{(x - 2)(x - 3) {}^{2} (x - 4) - 12 }$[/tex]
[tex]$\mathbf{( {x}^{2} - 4x - 2x + 8)( {x}^{2} - 6x + 9) - 12}$[/tex]
[tex]$\mathbf{( {x}^{2} - 6x + 8)( {x}^{2} - 6x + 9) - 12 }$[/tex]
[tex]$\mathbf{x {}^{4} - 6x {}^{3} + 9x {}^{2} - 6x {}^{3} + 36x {}^{2} - 54x + 8x {}^{2} - 48x + 72 - 12 }$[/tex]
[tex]$\mathbf{x {}^{4} - 12x {}^{3} + 53x {}^{2} - 54x - 48x + 72 - 12 }$[/tex]
[tex]$\mathbf{x {}^{4} - 12x {}^{3} + 53x {}^{2} - 102x + 6 0 }$[/tex]
Formula folosita : (a - b)² = a² - 2ab + b²
Bafta!
