SOLUTION: (2+3i)(4+5i)

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Question 244817: (2+3i)(4+5i)
Found 2 solutions by College Student, MathTherapy:
Answer by College Student(505) About Me  (Show Source):
Answer by MathTherapy(10551) About Me  (Show Source):
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(2+3i)(4+5i)

Foil the binomials:

F ------- 2 * 4 = 8

O ------- + 2 * + 5i = + 10i

I ------- + 3i * 4 = + 12i

L ------- + 3i * + 5i = %2B15i%5E2 = + 15(-1) = - 15

Putting them together, we get: 8 + 10i + 12i - 15

Combining like terms gives us: highlight_green%28-+7+%2B+22i%29