X & # 178; - Y & # 178; - x-5y-6 factorization It's very clear

X & # 178; - Y & # 178; - x-5y-6 factorization It's very clear

Original formula = x & # 178; - Y & # 178; - x-5y-6
=(x²-x+1/4)-(Y²+5y+25/4)
=(x-1/2)²-(Y+5/2)²
=[(x-1/2)+(Y+5/2)][(x-1/2)-(Y+5/2)]
=(x+Y+2)(x-Y-3)