Question

Demonstrați identitatea
X pătrat - x-6=(x-3)(x+2)
Vă rog Urgent!!! ​

Answer 1

Explicație pas cu pas:

${x}^{2} - x - 6 = \\ \\ {x}^{2} - 3x + 2x - 6 = \\ \\ x( \frac{ {x}^{2} }{x} - \frac{3x}{x}) + 2( \frac{2x}{2} - \frac{2 \times 3}{2}) = \\ \\ x( {x}^{2 - 1} - 3) + 2(x - 3) = \\ \\ x(x - 3) + 2(x - 3) = \\ \\ (x - 3)( \frac{x(x - 3)}{x - 3} + \frac{2(x - 3)}{x - 3} = \\ \\ (x - 3)(x + 2)$