Question

What is the value of
(1+i) (1 - 1)
2 – 3
?

Answer 1

hi! your answer should be D

Explanation:

I plugged the equation into a calculator and got D.

Answer 2

Explanation:

(a + b)(a-b) = a² - b²

i² = -1

(1 + i)(1-i) = 1² - i² = 1 - (-1) = 1 +1 = 2

`((1+i)(1-i))/(2-3i)=(2)/(2-3i)\\\\=(2*(2+3i))/((2-3i)(2+3i))\\\\=(2*2+2*3i)/(2^(2)-(3i)^(2))\\\\=(4+6i)/(4-3^(2)*i^(2))\\\\(4+6i)/(4-9*(-1))\\\\=(4+6i)/(4+9)\\\\=(4+6i)/(13)\\\\=(4)/(13)+(6)/(13)i`