Question

`(x^(2)-5x-6 )/(x^(2) -12x+36) .(x^(2) -36)/(x^(2) -19x-20)`

Answer 1

Simplifying the quadratic expressions, will get the simplified form is (x + 1) / ((x - 1)(x + 20)).

Step-by-step explanation:

To simplify the given expression, we can multiply the numerators and denominators separately:

(x² - 5x - 6) * (x² - 36) / (x² - 12x + 36) * (x² - 19x - 20)

This gives:

(x² - 5x - 6)(x² - 36) / (x² - 12x + 36)(x² - 19x - 20)

Next, we can factor the quadratic expressions:

(x - 6)(x + 1)(x - 6²) / (x - 6)(x - 6)(x - 1)(x + 20)

Now, we can cancel out the common factors:

(x + 1) / (x - 1)(x + 20)

So, the simplified form of the given expression is (x + 1) / ((x - 1)(x + 20)).