Question

$\frac{3x - 6}{3x - 1} \div \ \frac{xy - 2y}{9 {x}^{2} - 1}$
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Answer 1

3x-6= 3(x-2)

xy-2y=y(x-2)

9x²-1=(3x-1)(3x+1)

$\frac{3x - 6}{3x - 1} \div \ \frac{xy - 2y}{9 {x}^{2} - 1}$

=3(x-2)/3x-1 x (3x-1)(3x+1)/y(x-2)

se simplifica pe diagonala x-2 cu x-2

și 3x-1 cu 3x-1

$\frac{3}{1} \times \frac{3x + 1}{y} = \\ = \frac{3 \times (3x + 1)}{y} = \frac{9x \times 3}{y}$