Consider the expression (16-12)^2 +5(8+2)^2 /5^3 -(1+4)^2 Whats the simplified numerator

Answer 1

To simplify the numerator, we need to evaluate the expression inside the parenthesis and then perform the necessary calculations.

Step 1: Evaluate the expression inside the first parenthesis:
(16-12) = 4

Step 2: Evaluate the expression inside the second parenthesis:
(8+2) = 10

Step 3: Perform the calculations inside the numerator:
(16-12)^2 + 5(8+2)^2 = 4^2 + 5(10)^2 = 16 + 5(100) = 16 + 500 = 516

Therefore, the simplified numerator is 516.