Trigonometry (11th Edition) Clone

$-17-17i$
We multiply the two complex numbers using the FOIL method: Step 1: $wz$ Step 2: $(3+5i)(-4+i)$ Step 3: $3(-4+i)+5i(-4+i)$ Step 4: $-12+3i-20i+5i^{2}$ Step 5: $-12-17i+5i^{2}$ Since $i^{2}=-1$, we substitute the value of $i^{2}$ in the expression and simplify: Step 6: $-12-17i+5(-1)$ Step 7: $-12-17i-5$ Step 8: $-17-17i$ The answer is in rectangular form.