Question

alg 1 adding/subtracting with rational expression

Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's evaluate ~

As the denominator of both the terms is same, we can simply perform subtraction on numerator.

That is :

$\qquad \sf  \dashrightarrow \: \dfrac{a - 2}{ {a}^{2} + 7a + 6 } - \dfrac{5a - 6}{ {a}^{2} + 7a + 6 }$

$\qquad \sf  \dashrightarrow \: \dfrac{a - 2 - (5a - 6)}{ {a}^{2} + 7a + 6 }$

$\qquad \sf  \dashrightarrow \: \dfrac{a - 2 - 5a + 6}{ {a}^{2} + 7a + 6 }$

$\qquad \sf  \dashrightarrow \: \dfrac{ - 4a + 4}{ {a}^{2} + 7a + 6 }$