What is the simplified form of x minus 4 over x squared minus x minus 12 ⋅ x minus 4 over x squared minus 8x plus 16 ?

Step-by-step explanation:

The expression we are given is

We factor the denominator of each expression.

To factor

x²-x-12, we find factors of -12 that sum to -1.

-4(3) = -12 and -4+3 = -1; this gives us

Cancelling the common factors in the numerator and denominator, we have

To factor

x²-8x+16, we find factors of 16 that sum to -8;

-4(-4) = 16 and -4+-4 = -8.  This gives us

Cancelling the common factors in the numerator and denominator, we have

This gives us

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5