Simply by removing factor 1
p^2-36/p^2-12p+36
Note that p-6 is a factor of both numerator and denominator. Factor both and cancel the (p-6) for your answer.
I have no idea what you mean by "remove factor 1"
To simplify the given expression:
p^2 - 36 / p^2 - 12p + 36
Let's start by factoring the numerator and the denominator:
The numerator (p^2 - 36) can be factored as the difference of squares:
(p^2 - 6^2) = (p - 6)(p + 6)
The denominator (p^2 - 12p + 36) can be factored as a perfect square trinomial:
(p - 6)(p - 6) = (p - 6)^2
Now, we can rewrite the expression with the factored form:
(p^2 - 36) / (p^2 - 12p + 36) = [(p - 6)(p + 6)] / [(p - 6)^2]
Since (p - 6) appears in both the numerator and the denominator, we can cancel them out:
[(p - 6)(p + 6)] / [(p - 6)^2] = (p + 6) / (p - 6)
Therefore, the simplified expression is (p + 6) / (p - 6).