Question

Factor the polynomial
x^2 - 5xy + 6y^2

Answer 1

x(x-5)y(1+6y)

Answer 2

\(\Large \color{purple}{\rightarrow x^2 - 3xy - 2xy + 6y^2 }\)
\(\Large \color{purple}{\rightarrow x(x - 3y) - 2y(x - 3y) }\)
\(\Large \color{purple}{\rightarrow (x - 2y)(x - 3y) }\)

Answer 3

=x^2-4xy+4y^2-xy+2y^2
=(x-2y)^2-y(x-2y)
=(x-2y)(x-3y)