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 ?
1 Answer
justaguide | College Teacher | (Level 2) Distinguished Educator
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))`