Answer :
Final answer:
The algebraic expression simplifies to 48m² - 20m - 69, which is equivalence with answer option A.
Explanation:
The question is asking for the simplified form of the given algebraic expression.
First, we need to combine like terms, which are terms that have the same variables raised to the same powers. The like terms in the expression are 45m² and 3m² for the squared terms, -23m and 3m for the m terms, and -28 and -41 for the constants (numbers with no variables).
Adding those together, we get:
(45m² + 3m²) + (-23m + 3m) + (-28 - 41)
This simplifies further to:
48m² - 20m - 69
So, the given algebraic expression is equivalent to option A.
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