\(\dfrac{864\times48-432\times96}{864\times48+432}\\ =\dfrac{432\times\left(2\times48-96\right)}{432\times\left(2\times48\right)+432}\\ =\dfrac{432\times0}{432\times\left(2\times48+432\right)}\\ =0\)
`(864 × 48 - 432 × 96)/(864 × 48 + 432)`
`= (432 × 2 × 48 - 432 × 96)/(432 × 2 × 48 + 432 × 1)`
`= (432 × (2 × 48 - 96))/(432 × (2 × 48 + 1))`
`= (432 × 0)/(432 × 97)`
`= 0`