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 ?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The simplified form of "x minus 4 over x squared minus x minus 12"*"x minus 4 over x squared minus 8x plus 16" has to be determined.

This is: `((x - 4)/(x^2 - x - 12))*((x - 4)/(x^2 - 8x + 16))`

= `((x - 4)/((x - 4)(x - 3)))*((x - 4)/(x - 4)^2)`

= `(1/(x - 3))*(1/(x - 4))`

=> `1/((x - 3)(x - 4))`

The simplified form of the given expression is `1/((x - 3)(x - 4))`

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial Team