Question

Help- Sa se descompuna in factori expresia: (1-2)(x-3)^2(x-4) 12

Answer 1

Răspuns:

$\mathbf{x {}^{4} - 12x {}^{3} + 53x {}^{2} - 102x + 60 }$

Explicație pas cu pas:

$\mathbf{(x - 2)(x - 3) {}^{2} (x - 4) - 12 }$

$\mathbf{( {x}^{2} - 4x - 2x + 8)( {x}^{2} - 6x + 9) - 12}$

$\mathbf{( {x}^{2} - 6x + 8)( {x}^{2} - 6x + 9) - 12 }$

$\mathbf{x {}^{4} - 6x {}^{3} + 9x {}^{2} - 6x {}^{3} + 36x {}^{2} - 54x + 8x {}^{2} - 48x + 72 - 12 }$

$\mathbf{x {}^{4} - 12x {}^{3} + 53x {}^{2} - 54x - 48x + 72 - 12 }$

$\mathbf{x {}^{4} - 12x {}^{3} + 53x {}^{2} - 102x + 6 0 }$

Formula folosita : (a - b)² = a² - 2ab + b²

Bafta!