x^2−16x+64 over x^2−17x+72​

Answer 1

To simplify the expression (x^2 - 16x + 64) / (x^2 - 17x + 72), we first factor both the numerator and denominator.

The numerator is a perfect square trinomial and factors as (x - 8)^2.

The denominator can be factored as (x - 8)(x - 9).

Therefore, the expression simplifies to:

(x - 8)^2 / ((x - 8)(x - 9))

Next, we can cancel out the common factor of (x - 8) from the numerator and denominator:

(x - 8) / (x - 9)

So, the simplified form of the expression is (x - 8) / (x - 9).