Answer
$(5-3i)(1+i)$ = $8+2i$
Work Step by Step
1. $(5-3i)(1+i)$
2. Multiply the two binomials together (use the FOIL method to distribute the First, Outer, Inner, and Last terms): $5+5i-3i-3i^{2}$
3. Combine like terms: $-3i^{2}+2i+5$
4. Change $-3i^{2}$ to 3, because $i^{2}=-1$ and $-3\times-1 = 3$: $3+2i+5$
5. Combine like terms: $8+2i$
