SOLUTION: Fill in the blanks with real numbers. (11 - 7i)(2 + i) = ___ + ___ *i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Fill in the blanks with real numbers. (11 - 7i)(2 + i) = ___ + ___ *i      Log On


   

Question 1209127: Fill in the blanks with real numbers.
(11 - 7i)(2 + i) = ___ + ___ *i
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

(11-7i)*(2+i)
= x*(2+i)
= x*2+x*i
= (11-7i)*2+(11-7i)*i
= 22-14i+11i-7i^2
= 22-14i+11i-7(-1)
= 22-14i+11i+7
= (22+7)+(-14i+11i)
= 29-3i

Therefore,
(11-7i)*(2+i) = 29-3i

Verification using WolframAlpha