Question

сократите дробь 1) х^3+x^2/x^2
2)x^2-3x/x^2-9

Answer 1

$2)\frac{x^{2} -3x}{x^2-9}\\\\\frac{x(x-3)}{(x-3)(x+3)}\\\\\\\frac{x}{x+3}$

$1) \frac{x^{3} +x^2}{x^2}\\\frac{x^{2} (x+1)}{x^2}\\\\x+1$

Answer 2

1)

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

2)

$\frac{ {x}^{2} - 3x }{ {x}^{2} - 9} = \frac{x(x - 3)}{(x + 3)(x - 3)} = \frac{x}{x + 3}$