Completely factor the expression by grouping, if possible.
p2−pt−6p+6t
To factor the expression by grouping, we can rearrange the terms as:
p^2 - pt - 6p + 6t
Now, let's group the terms:
(p^2 - pt) - (6p - 6t)
Now, let's factor out the common terms from each group:
p(p - t) - 6(p - t)
Notice that both terms have a common factor of (p - t). We can now factor out this common factor:
(p - t)(p - 6)
Therefore, the completely factored expression is (p - t)(p - 6).