Factorize y² + (x − 1)y − x
The factorized form of the expression \[ y^2+(x-1)y-x \] is
Solution
Given expression:
\[ y^2+(x-1)y-x \]
Split the middle term:
\[ = y^2+xy-y-x \]
Grouping the terms:
\[ = y(y+x)-1(y+x) \]
Taking common factor:
\[ = (y-1)(y+x) \]
Therefore,
\[ \boxed{(y-1)(y+x)} \]