(1/4a-a^3-3)+(2a^3-1/2a^2+8)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (1/4a - a^3 - 3) + (2a^3 - 1/2a^2 + 8)

In algebra, simplifying expressions means combining like terms to make the expression as concise as possible. Let's break down the steps to simplify the given expression:

(1/4a - a^3 - 3) + (2a^3 - 1/2a^2 + 8)

1. Identify Like Terms:

• a^3 terms: -a^3 and 2a^3
• a^2 terms: -1/2a^2
• a terms: 1/4a
• Constant terms: -3 and 8

2. Combine Like Terms:

• a^3 terms: -a^3 + 2a^3 = a^3
• a^2 terms: -1/2a^2
• a terms: 1/4a
• Constant terms: -3 + 8 = 5

3. Write the Simplified Expression:

a^3 - 1/2a^2 + 1/4a + 5

Therefore, the simplified form of the expression (1/4a - a^3 - 3) + (2a^3 - 1/2a^2 + 8) is a^3 - 1/2a^2 + 1/4a + 5.