i as imaginary unit
(
3
−
7
i
)
(
−
8
+
9
i
)
Expand the expression
Apply the
Distributive Property
−
24
+
56
i
+
27
i
−
63
i
2
−
24
+
56
i
+
27
i
−
63
i
2
Calculate
Rewrite by definition
i
2
=
−
1
−
24
+
56
i
+
27
i
−
63
×
(
−
1
)
−
24
+
56
i
+
27
i
−
63
×
(
−
1
)
Calculate
Calculate the product or quotient
−
24
+
56
i
+
27
i
+
63
−
24
+
56
i
+
27
i
+
63
Combine like terms
Combine like terms
39
+
83
i
39
+
83
i
Answer
39
+
83
i