Упростите выражение [latex] \frac{x-5}{x^2+5x}+\frac{x+5}{x^2-5x} - \frac{4x}{x^2-25} [/latex]

[latex] \frac{x-5}{x^2+5x} +\frac{x+5}{x^2-5x}-\frac{4x}{x^2-25}= \frac{(x-5)^2+(x+5)^2}{x(x-5)(x+5)}- \frac{4x}{x^2-25}=[/latex] [latex]= \frac{x^2-10x+25+x^2+10x+25}{x(x^2-25)}- \frac{4x^2}{x(x^2-25)}= \frac{2x^2+50-4x^2}{x(x^2-25)} =[/latex] [latex]\frac{50-2x^2}{x(x^2-25)} = \frac{2(25-x^2)}{x(x^2-25)}=- \frac{2}{x} [/latex]