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

Math
(9-7i)(6+i)
Expand (9-7i)(6+i) using the FOIL Method.
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Apply the distributive property.
9(6+i)-7i(6+i)
Apply the distributive property.
9⋅6+9i-7i(6+i)
Apply the distributive property.
9⋅6+9i-7i⋅6-7ii
9⋅6+9i-7i⋅6-7ii
Simplify and combine like terms.
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Simplify each term.
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Multiply 9 by 6.
54+9i-7i⋅6-7ii
Multiply 6 by -7.
54+9i-42i-7ii
Multiply -7ii.
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Raise i to the power of 1.
54+9i-42i-7(i1i)
Raise i to the power of 1.
54+9i-42i-7(i1i1)
Use the power rule aman=am+n to combine exponents.
54+9i-42i-7i1+1
Add 1 and 1.
54+9i-42i-7i2
54+9i-42i-7i2
Rewrite i2 as -1.
54+9i-42i-7⋅-1
Multiply -7 by -1.
54+9i-42i+7
54+9i-42i+7
Add 54 and 7.
61+9i-42i
Subtract 42i from 9i.
61-33i
61-33i
Simplify (9-7i)(6+i)

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