X ^ 2-6xy + 9y ^ 2-3x + 9y + 2, the sooner the better! Factorization

X ^ 2-6xy + 9y ^ 2-3x + 9y + 2, the sooner the better! Factorization


x^2-6xy+9y^2-3x+9y+2
=(x-3y)^2-3(x-2y)+2
=(x-2y-1)(x-3y-2)



The square of X + 6xy + 9y - the square of 16A + 8a-1


x²+6xy+9y²-16a²+8a-1=(x²+6xy+9y²)-(16a²-8a+1)=(x+3y)²-(4a-1)²=[(x+3y)+(4a-1)][(x+3y)-(4a-1)]=(x+3y+4a-1)(x+3y-4a+1)



It is calculated by factorization


400²-800×398+398²
=400²-2×400×398+398²
=(400-398)²
=2²
=4