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What is the value of (8+9i)(8+9i)?

User Karric
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1 Answer

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To find the value of (8+9i)(8+9i), we can use the FOIL method (First, Outer, Inner, Last):

(8+9i)(8+9i) = 8(8) + 8(9i) + 9i(8) + 9i(9i)

Simplifying each term, we get:

64 + 72i + 72i + 81i^2

Note that i^2 is equal to -1, so we can substitute -1 for i^2:

64 + 72i + 72i - 81

Combining like terms, we get:

-17 + 144i

Therefore, (8+9i)(8+9i) = -17 + 144i.
User Bmscomp
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