Simplify (2-4i)(-6+4i)

Math
(2-4i)(-6+4i)
Expand (2-4i)(-6+4i) using the FOIL Method.
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Apply the distributive property.
2(-6+4i)-4i(-6+4i)
Apply the distributive property.
2⋅-6+2(4i)-4i(-6+4i)
Apply the distributive property.
2⋅-6+2(4i)-4i⋅-6-4i(4i)
2⋅-6+2(4i)-4i⋅-6-4i(4i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 2 by -6.
-12+2(4i)-4i⋅-6-4i(4i)
Multiply 4 by 2.
-12+8i-4i⋅-6-4i(4i)
Multiply -6 by -4.
-12+8i+24i-4i(4i)
Multiply -4i(4i).
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Multiply 4 by -4.
-12+8i+24i-16ii
Raise i to the power of 1.
-12+8i+24i-16(i1i)
Raise i to the power of 1.
-12+8i+24i-16(i1i1)
Use the power rule aman=am+n to combine exponents.
-12+8i+24i-16i1+1
Add 1 and 1.
-12+8i+24i-16i2
-12+8i+24i-16i2
Rewrite i2 as -1.
-12+8i+24i-16⋅-1
Multiply -16 by -1.
-12+8i+24i+16
-12+8i+24i+16
Add -12 and 16.
4+8i+24i
Add 8i and 24i.
4+32i
4+32i
Simplify (2-4i)(-6+4i)

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