-(3a%5E3%2B8).jpeg "(2a^2+4a^3)-(3a^3+8)")
Simplifying the Expression: (2a^2 + 4a^3) - (3a^3 + 8)
This article will guide you through simplifying the expression (2a^2 + 4a^3) - (3a^3 + 8).
Understanding the Expression
The expression involves terms with different powers of 'a' and constants. Let's break it down:
- 2a^2: This term represents 2 multiplied by the square of 'a'.
- 4a^3: This term represents 4 multiplied by the cube of 'a'.
- 3a^3: This term represents 3 multiplied by the cube of 'a'.
- 8: This is a constant term.
Simplifying the Expression
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Distribute the negative sign: The minus sign before the second parenthesis indicates that we need to subtract each term within the parenthesis. This gives us:
2a^2 + 4a^3 - 3a^3 - 8
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Combine like terms: We can combine the terms with the same power of 'a':
(4a^3 - 3a^3) + 2a^2 - 8
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Simplify:
a^3 + 2a^2 - 8
Final Result
The simplified form of the expression (2a^2 + 4a^3) - (3a^3 + 8) is a^3 + 2a^2 - 8.