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can someone simplify (1+5i)(1-5i) im seeing two different answers such as 2 and 26 while i got a completely different answer pls help :(

Sagot :

Answer:

[tex]\large\text{$26$ is the correct answer.}[/tex]

Step-by-step explanation:

[tex]\large\text{You may use the formula $(a-b)(a+b)=a^2-b^2$ here.}[/tex]

      [tex]\large\text{$(1+5i)(1-5i)$}\\[/tex]

      [tex]\large\text{$=1^2-(5i)^2$}[/tex]

      [tex]\large\text{$=1-(-25)$}[/tex]

      [tex]\large\text{$=1+25$}[/tex]

      [tex]\large\text{$=26$}[/tex]

1^2 - (5i)^2=1-25(-1)=1+25=26 is the answer
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