ГДЗ Математика 8 клас Істер (2025) - 1 ЧАСТИНА

Спростіть вираз:

1) (16m^2)/((4m-1)(4m+1)) – 8m/(16m^2-1) – 1/((1-4m)(1+4m)) = (16m^2)/((4m-1)(4m+1)) – 8m/((4m-1)(4m+1)) + 1/((4m-1)(4m+1)) = (16m^2-8m+1)/((4m-1)(4m+1)) = ((4m-1)^2)/((4m-1)(4m+1)) = (4m-1)/(4m+1);
2) (8x-9)/((2x+1)^2 ) – (8x^3+3x-1)/((1+2x)^2 ) – (5x-7)/(1+4x^2+4x) = (8x-9)/((2x+1)^2 ) – (8x^3+3x-1)/((2x+1)^2 ) – (5x-7)/((2x+1)^2 ) = (8x-9-8x^3-3x+1-5x+7)/((2x+1)^2 ) = (-8x^3-1)/((2x+1)^2 ) = –((2x+1)(4x^2-2x+1))/((2x+1)^2 ) = (2x-4x^2-1)/(2x+1).