Generalization
Factoring Quadratics
(Leading Coefficient=1)
Multiply (x+3)(x+4)(x+3)(x+4)(x+3)(x+4)
(x+b)(x+c)(x+b)(x+c)(x+b)(x+c)
=x(x+c)+b(x+c)x(x+c)+b(x+c)x(x+c)+b(x+c)
=x2+xc+xb+bcx^2+xc+xb+bcx2+xc+xb+bc
=x2+xb+xc+bcx^2+xb+xc+bcx2+xb+xc+bc
=x2+x(b+c)+bcx^2+x(b+c)+bcx2+x(b+c)+bc
By Anurag Katyal