Question

x square - y square=(x+y)=​

Answer 1

Answer:

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.

Answer 2

${x}^{2} - {y}^{2} = x + y$

$\cancel{(x + y)}(x - y) = \cancel{ (x + y)}$

$x - y = 0$

$x = y$