(a 3 - 2a + 5) - (4a 3 - 5a 2 + A - 2)

less than a minute read Jun 16, 2024
(a 3 - 2a + 5) - (4a 3 - 5a 2 + A - 2)

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.

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