Final answer:
The difference between (2x - 5) and (3 - 9x) is obtained by subtracting one polynomial from the other, which gives us 11x - 8 after combining like terms.
Step-by-step explanation:
To find the difference between (2× - 5) and (3 - 9x), we simply subtract one expression from the other. The subtraction of polynomials requires us to change the sign of the subtracted polynomial and then combine like terms.
So,
(2x - 5) - (3 - 9x)
= 2x - 5 - 3 + 9x
= 2x + 9x - 5 - 3
Combining like terms, we get:
11x - 8