Question

1. simplify $5i - (-3 - i)$ and write the answer in standard form.

\ta) $-3 + 4i$ \t b) $-3 + 6i$ \t c) $i$ \t\t\t d) $3 + 4i$ \t\t e) $3 + 6i$

Explanation:

Step1: Distribute the negative sign

We have the expression \( 5i - (-3 - i) \). Distribute the negative sign to the terms inside the parentheses: \( 5i + 3 + i \).

Step2: Combine like terms

Combine the real parts and the imaginary parts separately. The real part is \( 3 \), and the imaginary parts are \( 5i + i = 6i \). So the simplified form is \( 3 + 6i \).

Answer:

e) \( 3 + 6i \)