Simplify the following expression completery. \( \frac{x^{2}-11 x+10}{x^{2}-6 x-40} \) Enter the numerator and denominator separately in the boxes below. If the den number 1. Do not leave either box blank. Answer:

To simplify the expression \( \frac{x^{2}-11 x+10}{x^{2}-6 x-40} \), we need to factor both the numerator and denominator. The numerator \( x^{2}-11 x+10 \) factors as: \[ (x-1)(x-10) \] The denominator \( x^{2}-6 x-40 \) factors as: \[ (x-10)(x+4) \] Now we can rewrite the expression: \[ \frac{(x-1)(x-10)}{(x-10)(x+4)} \] We can then cancel the common factor \( (x-10) \), resulting in: \[ \frac{x-1}{x+4} \] So, the numerator is \( x-1 \) and the denominator is \( x+4 \). **Answer:** Numerator: \( x-1 \) Denominator: \( x+4 \)