Question

simplifique as expressões algébricas abaixo: a) x²-4/2x+4 b) 5x/x²-2xy+y² . 3x - 3y/2 c) x²-1/x²-2x+1 : x²+2x+1/x-1​

Answer 1

$\frac{ {x}^{2} - 4 }{2x + 4} = \frac{ (x + 2) \times (x - 2)}{2(x + 2)} = \frac{x - 2}{2}$

$\frac{5x}{ {x}^{2} - 2xy + {y}^{2} } = \frac{5x}{ {(x - y)}^{2} }$

$\frac{3x - 3y}{2} = \frac{3(x - y)}{2}$

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

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