Answered

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simply the following: (2+5i)^2 - (2+i)​

Sagot :

Hrishii

Answer:

- 23 + 19i

Step-by-step explanation:

[tex](2 + 5i)^{2} - (2 + i) \\ \\ = {2}^{2} + {(5i)}^{2} + 2.2.5i - 2 - i \\ \\ = 4 + 25 {i}^{2} + 20i - 2 - i \\ \\ = 4 - 25 + 20i - 2 - i \\ ( \because \: {i}^{2} = - 1) \\ \\ 4 - 25 - 2 + 20i - i \\ \\ = - 23 + 19i[/tex]

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