Question

simplify using formula : (x÷ y +1)(x square ÷y square - x ÷ y +1)​

Answer 1

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.