Solve step by step :
(2+2i)(5+3i)
2 answers:
Answer:
<h2>(2 + 2i)(5 + 3i) = 4 + 16i</h2>
Step-by-step explanation:
Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>
and i² = -1
(2 + 2i)(5 + 3i) = (2)(5) + (2)(3i) + (2i)(5) + (2i)(3i)
= 10 + 6i + 10i + 6i² = 10 + 6i + 10i + 6(-1)
= 10 + 6i + 10i - 6 <em>combine like terms</em>
= (10 - 6) + (6i + 10i)
= 4 + 16i
Answer:

Step-by-step explanation:
Distributive property: ⇒ A(B+C)=AB+AC
A=2, B=2, C=5, and D=3

Simplify and refine to find the answer.


, which is our correct answer.
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