Question

сократите дроби $frac{25 x^{2} -9}{50 x^{2} -60 x+18}$ ;$frac{ x^{2} + x-6}{3 x+ x^{2} }$

Answer 1

$frac{25x^2-9}{50x^2-60x+18} = frac{(5x-3)(5x+3)}{2(25x^2-30x+9)} = frac{(5x-3)(5x+3)}{2cdot (5x-3)^2} = frac{5x+3}{2(5x-3)} \\\ frac{x^2+x-6}{3x+x^2} = frac{(x+3)(x-2)}{x(x+3)} = frac{(x-2)}{x}$