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alg 1 adding/subtracting with rational expression

Alg 1 Addingsubtracting With Rational Expression class=

Sagot :

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

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

That is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{a - 2}{ {a}^{2} + 7a + 6 } - \dfrac{5a - 6}{ {a}^{2} + 7a + 6 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{a - 2 - (5a - 6)}{ {a}^{2} + 7a + 6 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{a - 2 - 5a + 6}{ {a}^{2} + 7a + 6 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ - 4a + 4}{ {a}^{2} + 7a + 6 } [/tex]