Multiply (9-7i)^2

Math
(9-7i)2
Rewrite (9-7i)2 as (9-7i)(9-7i).
(9-7i)(9-7i)
Expand (9-7i)(9-7i) using the FOIL Method.
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Apply the distributive property.
9(9-7i)-7i(9-7i)
Apply the distributive property.
9⋅9+9(-7i)-7i(9-7i)
Apply the distributive property.
9⋅9+9(-7i)-7i⋅9-7i(-7i)
9⋅9+9(-7i)-7i⋅9-7i(-7i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 9 by 9.
81+9(-7i)-7i⋅9-7i(-7i)
Multiply -7 by 9.
81-63i-7i⋅9-7i(-7i)
Multiply 9 by -7.
81-63i-63i-7i(-7i)
Multiply -7i(-7i).
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Multiply -7 by -7.
81-63i-63i+49ii
Raise i to the power of 1.
81-63i-63i+49(i1i)
Raise i to the power of 1.
81-63i-63i+49(i1i1)
Use the power rule aman=am+n to combine exponents.
81-63i-63i+49i1+1
Add 1 and 1.
81-63i-63i+49i2
81-63i-63i+49i2
Rewrite i2 as -1.
81-63i-63i+49⋅-1
Multiply 49 by -1.
81-63i-63i-49
81-63i-63i-49
Subtract 49 from 81.
32-63i-63i
Subtract 63i from -63i.
32-126i
32-126i
Multiply (9-7i)^2

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