Simplify (10i-9)(2i+6)

Math
(10i-9)(2i+6)
Expand (10i-9)(2i+6) using the FOIL Method.
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Apply the distributive property.
10i(2i+6)-9(2i+6)
Apply the distributive property.
10i(2i)+10i⋅6-9(2i+6)
Apply the distributive property.
10i(2i)+10i⋅6-9(2i)-9⋅6
10i(2i)+10i⋅6-9(2i)-9⋅6
Simplify and combine like terms.
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Simplify each term.
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Multiply 10i(2i).
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Multiply 2 by 10.
20ii+10i⋅6-9(2i)-9⋅6
Raise i to the power of 1.
20(i1i)+10i⋅6-9(2i)-9⋅6
Raise i to the power of 1.
20(i1i1)+10i⋅6-9(2i)-9⋅6
Use the power rule aman=am+n to combine exponents.
20i1+1+10i⋅6-9(2i)-9⋅6
Add 1 and 1.
20i2+10i⋅6-9(2i)-9⋅6
20i2+10i⋅6-9(2i)-9⋅6
Rewrite i2 as -1.
20⋅-1+10i⋅6-9(2i)-9⋅6
Multiply 20 by -1.
-20+10i⋅6-9(2i)-9⋅6
Multiply 6 by 10.
-20+60i-9(2i)-9⋅6
Multiply 2 by -9.
-20+60i-18i-9⋅6
Multiply -9 by 6.
-20+60i-18i-54
-20+60i-18i-54
Subtract 54 from -20.
-74+60i-18i
Subtract 18i from 60i.
-74+42i
-74+42i
Simplify (10i-9)(2i+6)

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