Question

Simplify the following rational expression to determine if thegiven simplification is correct. If it is correct, select TRUE. If it isnot correct, select FALSE.213 - 6-7x + 2186

Answer 1

`(z-5)/(z^2-10z+25)`

Let's factor the denominator:

The factors of 25 that sum to -10 are -5 and -5, therefore:

`z^2-10z+25=(z-5)(z-5)`

so:

`(z-5)/(z^2-10z+25)=((z-5))/((z-5)(z-5))=(1)/(z-5)`

Answer:

TRUE