Get the most out of your questions with IDNLearn.com's extensive resources. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

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