Question

Помогите❗️❗️❗️ пожалуйста

Answer 1

1.  a)  14x⁴y/49x³y²=2x/7y;  
      б) 5x/(x²+3x)=5x/x(x+3)=5/(x+3);
      в)(x²-y²)/(2x-2y)=(x+y)(x-y)/2(x-y)=(x+y)/2;
      г)(x²-16)/(x²-8x+16)=(x+4)(x-4)/(x-4)²=(x+4)/(x-4).
2 .a)  (3x-1)/x²+(x-9)/3x=(3(3x-1)+x(x-9))/3x²=(9x-3+x²-9x)/3x²=(x²-3)/3x²;
    б)1/(2a-b)-1/(2a+b)=((2a+b)-(2a-b))/(4a²-b²)=(2a+b-2a+b)/(4a²-b²)=2b/4a²-b²;
    в) 5/(c+3)-(5c-2)/(c²+3c)=5/(c+3)-(5c-2)/c(c+3)=(5c-5c+2)/(c²+3c)=2/(c²+3c).
3.2a/(a-5)-5/(a+5)+2a²/(25-a²)=(2a(a+5)-5(a-5)-2a²)/(a²-25)=
(2a²+10a-5a+25-2a²)/(a²-25)=(5a+25)/(a²-25)=5(a+5)/(a+5)(a-5)=5/(a-5);
4)   (2x²+7x+9)/(x³-1)+(4x+3)/(x²+x+1)-5/(x-1)=
   (2x²+7x+9+(4x+3)(x-1)-5(x²+x+1)/(x³-1)=
(2x²+7x+9+4x²+3x-4x-3-5x²-5x-5)/(x³-1)=
(x²+x+1)/(x³-1)=(x²+x+1)/(x-1)(x²+x+1)=1/(x-1)
x=1.1⇒1/(1.1-1)=1/0.1=10
    

Answer 2

Удачи!