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.
StepbyStep Solution

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)

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

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.