Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises - Page 64: 32

$(-2+i)(3-7i)$ = $1+17i$

1. $(-2+i)(3-7i)$ 2. Multiply the two binomials together (use the FOIL method to distribute the First, Outer, Inner, and Last terms): $-6+14i+3i-7i^{2}$ 3. Combine like terms: $-6+17i-7i^{2}$ 4. Change $-7i^{2}$ to 7 because $i^{2} = -1$ and $-7\times-1 = 7$: $-6+17i+7$ 5. Combine like terms: $1+17i$