Answer
$-23+52i$
Work Step by Step
Step 1: $(6+5i)(2+7i)$
Step 2: $6(2+7i)+5i(2+7i)$
Step 3: $6(2)+6(7i)+5i(2)+5i(7i)$
Step 4: $12+42i+10i+35i^{2}$
Step 5: Since $i^{2}=−1$, the expression becomes
$12+42i+10i+35(-1)$
Step 6: $12+42i+10i-35$
Step 7: $12-35+10i+42i$
Step 8: $-23+52i$