(1) -5y square from y square
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Generate formulas for x²+y².
(a) (x + y)² = x² + y² + 2xy
x² + y² = (x + y)² - 2xy ………..(1)
(b) (x - y)² = x² + y² - 2xy
x² + y² = (x - y)² + 2xy ………..(2)
(c) in a complex number i = √(−1) => i² = -1
then x² + y² = x² + (-1)(-1)y²
x² + y² = x² - i².y²
x² + y² = x² - (iy)²
x² + y² = (x + iy).(x - iy) …………(3) [ since a² - b² = (a + b).(a - b) ]
Equation (1),(2) and (3) are general generate formulas for x²+y².
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