Question

Factories $y^2-5y+6$ by using splitting middle term.

Answer 1

Given: $y^2-5y+6$

We have to find two numbers whose product is $6y^2$ and sum is $-5y$.

Using, middle term splitting, we get,

$=y^2-3y-2y+6$

$=y(y-3)-2(y-3)$

$=(y-2)(y-3)$

Therefore, $y^2-5y+6=(y-2)(y-3)$