ГДЗ Математика 8 клас Істер (2025) - 1 ЧАСТИНА

Спростіть вираз:

1) (3x-7y)/4xy + (15y-3x)/4xy = (3x-7y+15y-3x)/4xy = 8y/4xy = 2/x;
2) (7a+ p^3)/3p – (7a-2p^3)/3p = (7a+ p^3- (7a-2p^3))/3p = (7a+ p^3- 7a+2p^3)/3p = (3p^3)/3p = p2;
3) (5a- b^4)/(6b^5 ) – (b^4+ 5a)/(6b^5 ) = (5a- b^4- (b^4+ 5a))/(6b^5 ) = (5a- b^4- b^4- 5a)/(6b^5 ) = (-2b^4)/(6b^5 ) = –1/3b;
4) (3a-4)/8a + (4a+5)/8a – (1-a)/8a = (3a-4+4a+5-(1-a))/8a = (7a+1-1+a)/8a = 8a/8a = 1.