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

2 min read Jun 16, 2024
(5a^4-3a^2)-(3a^2+3a)

Simplifying the Expression: (5a^4 - 3a^2) - (3a^2 + 3a)

This article will guide you through simplifying the algebraic expression: (5a^4 - 3a^2) - (3a^2 + 3a).

Understanding the Problem

The expression involves combining like terms within parentheses and then simplifying the whole expression.

Step-by-Step Solution

  1. Distribute the negative sign: Remember that subtracting an expression is the same as adding its opposite. So, we distribute the negative sign in front of the second set of parentheses: (5a^4 - 3a^2) + (-3a^2 - 3a)

  2. Combine like terms: Identify terms with the same variable and exponent and combine their coefficients.

    • a^4 terms: 5a^4
    • a^2 terms: -3a^2 + (-3a^2) = -6a^2
    • a terms: -3a

  3. Write the simplified expression: Now, we combine all the terms: 5a^4 - 6a^2 - 3a

Conclusion

The simplified form of the expression (5a^4 - 3a^2) - (3a^2 + 3a) is 5a^4 - 6a^2 - 3a.

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