Simplifying the Expression: (a³ - 2a + 5) - (4a³ - 5a² + a - 2)
This expression involves subtracting two polynomials. To simplify it, we need to distribute the negative sign and then combine like terms.
Here's how we can simplify the expression step-by-step:
1. Distribute the negative sign:
(a³ - 2a + 5) - (4a³ - 5a² + a - 2)
= a³ - 2a + 5 - 4a³ + 5a² - a + 2
2. Combine like terms:
a³ - 4a³ + 5a² - 2a - a + 5 + 2
= **-3a³ + 5a² - 3a + 7**
Therefore, the simplified form of the expression (a³ - 2a + 5) - (4a³ - 5a² + a - 2) is -3a³ + 5a² - 3a + 7.