Simplify (7-6i)(9-9i)

Math
(7-6i)(9-9i)
Expand (7-6i)(9-9i) using the FOIL Method.
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Apply the distributive property.
7(9-9i)-6i(9-9i)
Apply the distributive property.
7⋅9+7(-9i)-6i(9-9i)
Apply the distributive property.
7⋅9+7(-9i)-6i⋅9-6i(-9i)
7⋅9+7(-9i)-6i⋅9-6i(-9i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 7 by 9.
63+7(-9i)-6i⋅9-6i(-9i)
Multiply -9 by 7.
63-63i-6i⋅9-6i(-9i)
Multiply 9 by -6.
63-63i-54i-6i(-9i)
Multiply -6i(-9i).
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Multiply -9 by -6.
63-63i-54i+54ii
Raise i to the power of 1.
63-63i-54i+54(i1i)
Raise i to the power of 1.
63-63i-54i+54(i1i1)
Use the power rule aman=am+n to combine exponents.
63-63i-54i+54i1+1
Add 1 and 1.
63-63i-54i+54i2
63-63i-54i+54i2
Rewrite i2 as -1.
63-63i-54i+54⋅-1
Multiply 54 by -1.
63-63i-54i-54
63-63i-54i-54
Subtract 54 from 63.
9-63i-54i
Subtract 54i from -63i.
9-117i
9-117i
Simplify (7-6i)(9-9i)

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