ГДЗ Алгебра 8 клас Мерзляк (2025)

Спростіть вираз:

1) (x^2- 16x)/((x-7)^4 ) + (2x+49)/((7-x)^4 ) = (x^2- 16x)/((x-7)^4 ) + (2x+49)/((-(x-7))^4 ) = (x^2- 16x)/((x-7)^4 ) + (2x+49)/((x-7)^4 ) = (x^2- 16x+2x+49)/((x-7)^4 ) = (x^2- 14x+49)/((x-7)^4 ) = ((x-7)^2)/((x-7)^4 ) = 1/((x-7)^2 );
2) (y^2+ y)/((y-6)(y+2)) + (y+36)/((6-y)(2+y)) = (y^2+ y)/((y-6)(y+2)) + (y+36)/(-(y-6)(y+2)) = (y^2+ y)/((y-6)(y+2)) – (y+36)/((y-6)(y+2)) = ((y^2+ y)- (y+36))/((y-6)(y+2)) = (y^2+ y-y-36)/((y-6)(y+2)) = (y^2- 36)/((y-6)(y+2)) = ((y-6)(y+6))/((y-6)(y+2)) = (y+6)/(y+2).