Answer
$-35 +20i$
Work Step by Step
RECALL:
(1) $a(b+c) = ac + bc$
(2) $i^2=-1$
Use rule (1) above to obtain:
$=5i(4) + 5i(7i)
\\=20i + 35i^2$
Use rule (2) above to obtain:
$=20i + 35(-1)
\\=20i +(-35)
\\=-35 +20i$