Question

Alg 1 adding/subtracting with rational expression

Answer 1

-4a + 4/ a^2 + 7a +6

Answer 2

`\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 \: \frac{a - 2}{ {a}^(2) + 7a + 6 } - \frac{5a - 6}{ {a}^(2) + 7a + 6 }`

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

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

`\qquad \sf  \dashrightarrow \: \frac{ - 4a + 4}{ {a}^(2) + 7a + 6 }`