Simplify the following expression completely.

Question

start fraction, x, squared, minus, 17, x, plus, 70, divided by, x, squared, minus, 18, x, plus, 80, end fraction
x
2
−18x+80
x
2
−17x+70
​

Answer 1

To simplify the expression completely, we can factor the numerator and denominator.

Factoring the numerator:
x^2 - 17x + 70 = (x - 10)(x - 7)

Factoring the denominator:
x^2 - 18x + 80 = (x - 10)(x - 8)

Now we can cancel out the common factors:
(x - 10)(x - 7) / (x - 10)(x - 8)

Finally, we have:
(x - 7) / (x - 8)