I need help with this problem:
9i - (5i + 4i)^2
The correct answer is supposed to be 9 + 49i, but my answer is no where near that...
If the problem is as you typed, that answer is not correct.
Sorry! The actual problem is:
9i - (5i + 4i^2)^2
4i^2=-4
(5i-4)^2 =-9 - 40 i
9i-(5i + 4i^2)^2 =9+49i
To solve this problem, you need to simplify the expression step by step. Here's a breakdown of how to approach it:
Step 1: Simplify the terms inside the parentheses.
In this case, you have (5i + 4i)^2. To simplify, add the two terms inside the parentheses:
5i + 4i = 9i.
Step 2: Square the simplified term.
Taking the square of 9i, you multiply it by itself:
(9i)^2 = (9i) * (9i) = 81i^2.
Step 3: Simplify i^2.
Remember that i^2 is equal to -1:
i^2 = -1.
Step 4: Substitute the simplified i^2 back into the expression.
Replace i^2 with -1 in the expression:
81(-1).
Step 5: Simplify the remaining expression.
Multiply 81 by -1:
81(-1) = -81.
Therefore, the simplified expression is -81.
It seems like you have a discrepancy in the correct answer you provided (9 + 49i). Double-check your calculations or provide more information if you believe there might be a mistake in the original problem or my explanation.