quadratic equations n complex nos

Express (1+x²) (1+y²) (1+z²) as sum of two squares.

1 Answers

341

Hari Shankar ·2011-09-23 00:03:25

Hint: (1+a²)(1+b²)= (a-b)^2+(1+ab)^2

If you want to use complex numbers for this:

(a+i)(1+ib) = (a-b) + i(1+ab)

Taking moduli and squaring on both sides you obtain that result

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