Question

выполните действия 1) 3/a+a-3/a+5; 2) 2x^2/x^2 - 4-2x/x+2

Answer 1

$...........=\frac{3(a+5)+a(a-3)}{a(a+5)} = \frac{3a+15+ a^{2} -3a}{a(a+5)} = \frac{ a^{2} +15}{a(a+5)} \\ \\ \\ \\ .............= \frac{2 x^{2} }{(x-2)(x+2)}- \frac{2x}{x+2} = [tex]\frac{2 x^{2} -2x(x-2)}{(x+2)(x-2)} = \frac{2 x^{2} -2x^{2}+4}{(x+2)(x-2)} = \frac{4}{ x^{2} -4}$