To determine which expression is equivalent to 4 + 6i², we need to simplify the part involving i². In mathematics, especially in the realm of complex numbers, i is defined as the imaginary unit, where i represents the square root of -1. Therefore, we have:
i² = -1.
Now, substituting -1 for i² in the original expression gives us:
4 + 6(-1).
Next, we simplify:
4 – 6 = -2.
Thus, the expression 4 + 6i² simplifies to -2.
In conclusion, the equivalent expression of 4 + 6i² is -2.