SOLUTION: Could you please help me solve this step by step: (x-5-5i)(x-5+5i)

Algebra ->  Rational-functions -> SOLUTION: Could you please help me solve this step by step: (x-5-5i)(x-5+5i)       Log On


   

Question 942308: Could you please help me solve this step by step:
(x-5-5i)(x-5+5i)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-5-5i%29%28x-5%2B5i%29
1.first multiply %28x-5%2B5i%29 by x from %28x-5-5i%29:
x%28x-5%2B5i%29=>%28x%5E2-5x%2B5x%2Ai%29...(1)
2.then multiply %28x-5%2B5i%29 by -5:
-5%28x-5%2B5i%29=>%28-5x%2B25-25i%29...(2)
3.then multiply %28x-5%2B5i%29 by -5i:
-5i%28x-5%2B5i%29=> %28-5x%2Ai%2B25i-25i%5E2%29...(3)
now just put (1),(2) and (3) together
so, it will be:
...recall i%5E2=-1
%28x-5-5i%29%28x-5%2B5i%29=x%5E2-5x%2B5x%2Ai-5x%2B25-25i-5x%2Ai%2B25i-25%28-1%29

%28x-5-5i%29%28x-5%2B5i%29=x%5E2-5x-5x%2B25-25%28-1%29
%28x-5-5i%29%28x-5%2B5i%29=x%5E2-10x%2B25%2B25
%28x-5-5i%29%28x-5%2B5i%29=x%5E2-10x%2B50