Question

Simplifique as frações algébricas:

3)
$\frac{ { \times }^{2} - 100 }{ \times - 10}$
4)
$\frac{ { \times }^{2} + 5 \times }{ \times + 5}$
5)
$\frac{4 \times - 8}{ \times - 2}$
6)
$\frac{5 \times + 10}{10 \times + 20}$
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Answer 1

Explicação passo-a-passo:

$3) \\ \frac{ {x}^{2} - 100 }{x - 10} = \frac{(x - 10)(x + 10)}{x - 10} = \frac{(1)(x + 10)}{1} = x + 10 \\ \\ 4) \\ \frac{ {x}^{2} + 5x}{x + 5} = \frac{(x)(x + 5)}{x + 5} = \frac{(x)(1)}{1} = x \\ \\ 5) \\ \frac{4x - 8}{x - 2} = \frac{(4)(x - 2)}{x - 2} = \frac{(4)(1)}{1} = 4 \\ \\ 6) \\ \frac{5x + 10}{10x + 20} = \frac{5x + 10}{(2)(5x + 10)} = \frac{1}{(2)(1)} = \frac{1}{2}$