Simplify the following rational expression. State any restrictions on the variable. m2+4m−5m2−1 (1 point) Responses m−3m−4; m≠4, m≠−4 m−3m−4; m≠4, m≠−4 m−5m−1; m≠1, m≠−1 m−5m−1; m≠1, m≠−1 m+51; m≠1, m≠−1 m+51; m≠1, m≠−1 m+5m+1; m≠1, m≠−1

Question

Simplify the following rational expression. State any restrictions on the variable. m2+4m−5m2−1 (1 point) Responses m−3m−4; m≠4, m≠−4 m−3m−4; m≠4, m≠−4 m−5m−1; m≠1, m≠−1 m−5m−1; m≠1, m≠−1 m+51; m≠1, m≠−1 m+51; m≠1, m≠−1 m+5m+1; m≠1, m≠−1

Answer 1

To simplify the rational expression, we need to factor numerator and denominator.

The numerator can be factored as (m+5)(m-1).

The denominator can be factored as (m+1)(m-4).

Therefore, the simplified expression is (m+5)(m-1)/(m+1)(m-4).

Restrictions on the variable:
The expression is defined for all values of m except when m= -1 and m= 4.