Question

СРОЧНО! Упростите выражение

Answer 1

$( sqrt{15}+ sqrt{5})*sqrt{15}- frac{5}{3} sqrt{27}= \ sqrt{225}+ sqrt{75}- frac{15}{3} sqrt{3}= \ 15+sqrt{75}-5 sqrt{3}= \ \ 15+5sqrt{3}-5 sqrt{3}=15$


$( frac{3}{9-x^{2}}+ frac{1}{x-3}): frac{x}{x^{2}-6x+9}\ \ ( frac{3}{(x+3)(x-3)}+ frac{1}{x-3}): frac{x}{x^{2}-6x+9} \ \ ( frac{3}{(x+3)(x-3)}+ frac{1*(x+3)}{x-3}): frac{x}{x^{2}-6x+9} \ \ 3+ (x+3): frac{x}{x^{2}-6x+9} \ \ (6+ x) *frac{x^{2}-6x+9}{x} \ \ frac{(6+ x) *(x^{2}-6x+9)}{x} \ \ frac{6x^{2}-36x+54+x^{3}-6x^{2}+9x}{x} \ \ frac{x^{3}-27x}{x} \ \ frac{x(x^{2}-27)}{x} \ \ x^{2}-27 \ \ x^{2}=27 \ \ x_{1}=3sqrt{3} \ \ x_{2}=-3sqrt{3}$