How do you simplify (1+5i)(1-5i)?

Madilyn Fitzgerald

Madilyn Fitzgerald

Answered question

2022-01-31

How do you simplify (1+5i)(15i)?

Answer & Explanation

plusmarcacw

plusmarcacw

Beginner2022-02-01Added 10 answers

Step 1
(1+5i)(15i)
use the difference of squares formula: (ab)(a+b)=a2b2
so in this case:
(1+5i)(15i)=(1)2(5i)2 simplify:
=1(52×i2) simplify: i2=1:
=1(25×(1))
=1(25)
=1+25
=26
waijazar1

waijazar1

Beginner2022-02-02Added 13 answers

Step 1
FOIL method to distribute the parenthesis.
FOIL means First, Outside, Inside, Last:
(1+5i)(15i)
=15i+5i25i2
=1+25
=26

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