Respuesta :

the answer is -20+48i

Answer:

(4 + 6i)² = -20 + 48i

Step-by-step explanation:

Here given square of complex number that is:

(4 + 6i)²

Now use the square property :

(a + b)² = a² + b² + 2ab

(4 + 6i)² = 4² + (6i)² + 2(4)(6i)

(4 + 6i)² = 16 + 36i² + 48i

(4 + 6i)² = 16 - 36 + 48i                 (value of i² = -1)

(4 + 6i)² = -20 + 48i

That's the final answer.

I hope its help you.