Question

Спростіть вираз:
$\frac{x+3}{6x-30}*\frac{450}{3x+x^{2} }+\frac{3x}{5-x}$

Answer 1

Объяснение:

$\frac{x + 3}{6x - 30} \times \frac{450}{3x + x {}^{2} } + \frac{3x}{5 - x} \\ \frac{x + 3}{6x - 30} \times \frac{450}{x(3 + x)} + \frac{3x}{ - (x - 5)} \\ \frac{1}{x - 5} \times \frac{75}{x} - \frac{3x}{x - 5} \\ \frac{75}{x(x - 5)} - \frac{3x}{x - 5} \\ \frac{75 - 3x {}^{2} }{x(x - 5)} \\ \frac{3(25 - x {}^{2} )}{x(x - 5)} \\ \frac{3(5 - x)(5 + x)}{x(x - 5)} \\ \frac{3( - (x - 5)) \times (5 + x)}{x(x - 5) } \\ \frac{3( - 1)(5 + x)}{x} \\ \frac{ - 3 \times 1(5 + x)}{x} \\ \frac{ - 15 + 3x}{x}$