Question

Multiply. (x squared – x – 42) over (x – 8) times (x squared – 64) over (9x + 54)

Answer 1

First, factor all the expressions:

x² - x - 42 = (x - 7)(x + 6)

x² - 64 = (x - 8)(x + 8)

9x + 54 = 9(x + 6)

Now, rewrite the original expression with the factored forms:

((x - 7)(x + 6))/(x - 8) * ((x - 8)(x + 8))/(9(x + 6))

Now, cancel out any common factors:

(x - 7)(x + 8)/9

So, the simplified expression is (x - 7)(x + 8)/9.