Subjects algebra

Evaluate Expression D2A2Ac

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1. **State the problem:** Evaluate the numeric expression $$5^2 - 6(4^2 - 10) - 3$$ and find which value among (A) 19, (B) -11, (C) 7, (D) -14 is equivalent. 2. **Recall the order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). 3. **Calculate exponents:** $$5^2 = 25$$ $$4^2 = 16$$ 4. **Evaluate inside the parentheses:** $$4^2 - 10 = 16 - 10 = 6$$ 5. **Multiply:** $$-6(6) = -36$$ 6. **Substitute back into the expression:** $$25 - 36 - 3$$ 7. **Perform subtraction step-by-step:** $$25 - 36 = \cancel{25} - \cancel{36} = -11$$ $$-11 - 3 = -14$$ 8. **Final answer:** $$\boxed{-14}$$ which corresponds to option (D).