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

$\frac{z-5}{z^2-10z+25}$

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:

$\frac{z-5}{z^2-10z+25}=\frac{(z-5)}{(z-5)(z-5)}=\frac{1}{z-5}$

Answer:

TRUE