Question

PLSSS HELPPP Simplify: (2 - i) (4 +2i)

Answer 1

10
Expand
(
2
−
i
)
(
4
+
2
i
)
(
2
-
i
)
(
4
+
2
i
)
using the FOIL Method.
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Apply the distributive property.
2
(
4
+
2
i
)
−
i
(
4
+
2
i
)
2
(
4
+
2
i
)
-
i
(
4
+
2
i
)
Apply the distributive property.
2
⋅
4
+
2
(
2
i
)
−
i
(
4
+
2
i
)
2
⋅
4
+
2
(
2
i
)
-
i
(
4
+
2
i
)
Apply the distributive property.
2
⋅
4
+
2
(
2
i
)
−
i
⋅
4
−
i
(
2
i
)
2
⋅
4
+
2
(
2
i
)
-
i
⋅
4
-
i
(
2
i
)
Simplify and combine like terms.
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Simplify each term.
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8
+
4
i
−
4
i
+
2
8
+
4
i
-
4
i
+
2
Add
8
8
and
2
2
.
10
+
4
i
−
4
i
10
+
4
i
-
4
i
Subtract
4
i
4
i
from
4
i
4
i
.
10
+
0
10
+
0
Add
10
10
and
0
0
.

Answer 2

Step-by-step explanation:

( 2 - 1)(4+2)

= (1)(6)

= 6