Subtract (j+2)-2(3-9j)

Question

A. -17j-4
B.-8j-4
C. 19j+4
D.19j-4

Answer 1

To simplify the expression \((j + 2) - 2(3 - 9j)\), we'll first distribute the \(-2\) into the terms inside the parentheses.

1. Start with the expression: \[ (j + 2) - 2(3 - 9j) \]

2. Distribute \(-2\): \[ (j + 2) - (6 - 18j) \]

3. Rewrite the expression by distributing the subtraction: \[ j + 2 - 6 + 18j \]

4. Combine like terms. First, combine the \(j\) terms: \[ j + 18j = 19j \] Then combine the constant terms: \[ 2 - 6 = -4 \]

5. Now put it all together: \[ 19j - 4 \]

Thus, the simplified expression is \(19j - 4\).

The correct answer is D. 19j - 4.