Question

Упростите выражения: 2) (x^2+ 4y^2)/ x- 2y +4xy/ 2y-x
4) (9a^2 +4y^2)/ 3a- 2y + 12ay/ 2y- 3a
6) (a^2* x^2) +(25y^2)/ ax - 5y + 10axy/ 5y- ax

Answer 1

2) (x²+4y²)/(x-2y)+4xy/(2y-x)=(x²+4y²)/(x-2y)-4xy/(x-2y)=(x²-4xy+4y²)/(x-2y)=           =(x-2y)²/(x-2y)=x-2y;
4) (9a²+4y²)/(3a-2y)+12ay/(2y-3a)=(9a²+4y²)/(3a-2y)-12ay/(3a-2y)=(9a²-2ay+4y²)/(3a-2y)=(3a-2y)²/(3a-2y)=(3a-2y)$
6) (a²x²+25y²)/(ax-5y)+10axy/(5y-ax)= (a²x²+25y²)/(ax-5y)-10axy/(ax-5y)=            =(a²x²-10axy+25y²)/(ax-5y)=(ax-5y)²/(ax-5y)=(ax-5y)