-(3a%5E2-4a%5E3)-simplified.jpeg "(a^3-2a^2)-(3a^2-4a^3) Simplified")
Simplifying Algebraic Expressions: (a^3 - 2a^2) - (3a^2 - 4a^3)
This article will guide you through the process of simplifying the algebraic expression (a^3 - 2a^2) - (3a^2 - 4a^3).
Understanding the Steps
To simplify this expression, we will follow these steps:
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Distribute the negative sign: The minus sign in front of the second set of parentheses means we multiply each term inside by -1.
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Combine like terms: Identify terms with the same variable and exponent, and combine their coefficients.
Simplifying the Expression
Step 1: Distribute the negative sign.
(a^3 - 2a^2) *-1(3a^2 - 4a^3) = a^3 - 2a^2 - 3a^2 + 4a^3
Step 2: Combine like terms.
a^3 + 4a^3 - 2a^2 - 3a^2 = 5a^3 - 5a^2
Conclusion
The simplified form of the expression (a^3 - 2a^2) - (3a^2 - 4a^3) is 5a^3 - 5a^2.
By following these steps, you can effectively simplify algebraic expressions and express them in their most concise form.