Question

Упростите рациональное выражение №333. решите систему неравенств №334

Answer 1

Решение смотри в приложении

Answer 2

333a
1)(x-y)/5x-(x-y)=(x-y)(1-5x)/5x
2)(x-y)(1-5x)/5x:(y-x)/8=(y-x)(5x-1)/5x*8/*y-x)=8(5x-1)/5x
3)8(5x-1)/5x+8/5x=(40x-8+8)/5x=40x/5x=8
333b
1)(2m+5)/(1+2m)-(5+2m)/(1-10m)=(2m+5-20m²-50m-5-2m-10m-4m²)/(1+2m)(1-10m)=
=(-24m²-60m)/(1+2m)(1-10m)=-12m(2m+5)/(1+2m)(1-10m)
2)-12m/(1+2m)(1-10m)*(1-10m)/2m(2m+5)=-6/)1+2m)
3)(5+4m²)/(2m+1)-6/(1+2m)=(5+4m²-6)/(1+2m)=(4m²-1)/(1+2m)=
=(2m-1)(2m+1)/(1+2m)=2m-1
334a
{504d-49d-63<2-4d-14⇒⇒459d<51⇒d<51/459⇒d<1/9
{3+4d-4d>10+2-3d⇒3d>9⇒d>3
нет решения
334б
{18b-102+180<15-5b+40b⇒-7b<-63⇒b>9
{16-2b>6b-15+6⇒-8b>-25⇒b<3 1/8
нет решения