Question

simplificati raportul algebric
$\frac{ { \times }^{2 } - 36 }{ { \times }^{2} - 12 \times + 6}$
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Answer 1

$x {}^{2} - 36 = x {}^{2} - 6 {}^{2} = (x + 6)(x - 6)$

a² - b² = (a+b)(a-b)

$x {}^{2} - 12x + 6$

Cred că era + 36 nu + 6

$x {}^{2} - 12x + 36 = \\ = x {}^{2} - 2 \times x \times 6+ 6 {}^{2} = \\ = (x - 6) {}^{2}$

(a-b)²= a² -2ab +b²

$\frac{x {}^{2} - 36 }{ {x}^{2} - 12x + 36} = \\ \\ = \frac{(x + 6)(x - 6)}{(x - 6) {}^{2} } {}^{( \: (x - 6)} = \\ \\ \huge= \frac{x + 6}{x - 6}$