Perform the indicated operations. Give the answer in lowest terms.
-$\frac{m-2}{m^{2}-6 m+5}+\frac{5 m+7}{m^{2}-4 m+3}$
A) $6 m+5$
B) $\frac{6 m^{2}-23 m-29}{(m+1)(m+5)(m+3)}$
C) $\frac{6 m+5}{2 m^{2}-10 m+8}$
D) $\frac{6 m^{2}-23 m-29}{(m-1)(m-5)(m-3)}$

Question

Quizplus · Accepted Answer

To add the fractions, first factor the denominators: $m^2 - 6m + 5 = (m-1)(m-5)$ and $m^2 - 4m + 3 = (m-1)(m-3)$. The common denominator is $(m-1)(m-5)(m-3)$. Rewrite each fraction with this common denominator and combine them. Simplify the resulting expression to get $\frac{6m^2 - 23m - 29}{(m-1)(m-5)(m-3)}$.

Perform the Indicated Operations m−2m2−6m+5+5m+7m2−4m+3\frac{m-2}{m^{2}-6 m+5}+\frac{5 m+7}{m^{2}-4 m+3}m2−6m+5m−2​+m2−4m+35m+7​ A) 6m+56 m+56m+5 B) 6m2−23m−29(m+1)(m+5)(m+3)\frac{6 m^{2}-23 m-29}{(m+1)(m+5)(m+3)}(m+1)(m+5)(m+3)6m2−23m−29​

Perform the Indicated Operations $\frac{m-2}{m^{2}-6 m+5}+\frac{5 m+7}{m^{2}-4 m+3}$ A) $6 m+5$ B) $\frac{6 m^{2}-23 m-29}{(m+1)(m+5)(m+3)}$