Simplifying the Expression: (4a³ - 3a - 8) - (a - 5)
This expression involves subtracting one binomial from another trinomial. To simplify this expression, we need to follow the order of operations and distribute the negative sign:
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Distribute the negative sign:
(4a³ - 3a - 8) - (a - 5) = 4a³ - 3a - 8 - a + 5
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Combine like terms:
4a³ - 3a - a - 8 + 5 = 4a³ - 4a - 3
Therefore, the simplified expression is 4a³ - 4a - 3.
Key points to remember:
- When subtracting a binomial, we distribute the negative sign to each term inside the parentheses.
- We combine like terms to simplify the expression.
By following these steps, we can successfully simplify the expression.