Question

Factorize x² - y² + 6y - 9.Give the whole soln

Answer 1

$x^{2} - y^{2} +6y-9 =0\\ or, x^{2} -( y^{2} -6y+9)=0 \\ or, x^{2} -( y-3)^{2}=0 \\ or,(x+y-3)(x-y+3)=0$
therefore ,x+y-3=0
             or, x+y = 3 ------(1)
And,      x-y+3 = 0
         or, x-y = -3 ----(2)
from Eqn(1) & (2)
x = 0
 and y = 3