Question

If i = √-1, then show that (x+1+i)(x+1-i) = x^2 + 2x + 2

Answer 1

(x+1)²-i²

x²+2x+1-1

x²+2x

Answer 2

Answer

Step-by-step explaination

(x+1+i)(x+1-i)=x²+2x-2

L.H.S

• (x+1+I)(x+1-i)

•x²+(1-i+1+I)x+(1+I)(1-i)

•x²+2x+(1-i²)

•x²+2x+2=R.H.S

Hence,proved