Simplify (2-6i)(6+2i)

Math
(2-6i)(6+2i)
Expand (2-6i)(6+2i) using the FOIL Method.
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Apply the distributive property.
2(6+2i)-6i(6+2i)
Apply the distributive property.
2⋅6+2(2i)-6i(6+2i)
Apply the distributive property.
2⋅6+2(2i)-6i⋅6-6i(2i)
2⋅6+2(2i)-6i⋅6-6i(2i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 2 by 6.
12+2(2i)-6i⋅6-6i(2i)
Multiply 2 by 2.
12+4i-6i⋅6-6i(2i)
Multiply 6 by -6.
12+4i-36i-6i(2i)
Multiply -6i(2i).
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Multiply 2 by -6.
12+4i-36i-12ii
Raise i to the power of 1.
12+4i-36i-12(i1i)
Raise i to the power of 1.
12+4i-36i-12(i1i1)
Use the power rule aman=am+n to combine exponents.
12+4i-36i-12i1+1
Add 1 and 1.
12+4i-36i-12i2
12+4i-36i-12i2
Rewrite i2 as -1.
12+4i-36i-12⋅-1
Multiply -12 by -1.
12+4i-36i+12
12+4i-36i+12
Add 12 and 12.
24+4i-36i
Subtract 36i from 4i.
24-32i
24-32i
Simplify (2-6i)(6+2i)

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