Answer:
1.
[tex] \frac{5x}{6} + \frac{2x}{6} \\ \frac{5x + 2x}{6} \\ \frac{7x}{6} \\ \\ [/tex]
2.
[tex] \frac{a {}^{2} - 2a - 7}{ {a}^{2} - 9} + \frac{3a + 1}{ {a}^{2} - 9} \\ \frac{ {a}^{2} - 2a - 7 + 3a + 1}{ {a}^{2} - 9 } \\ \frac{a {}^{2} + a - 6}{ {a}^{2} - 9} \\ \frac{(a + 3)(a - 2)}{(a + 3)(a - 3)} \\ \frac{a - 2}{a - 3} \\ \\ [/tex]
3.
[tex] \frac{7}{4x - 1} - \frac{5}{4x - 1} \\ \frac{7 - 5}{4x - 1} \\ \frac{2}{4x - 1} \\ \\ [/tex]
4.
[tex] \frac{2x {}^{2} - x - 8}{ {x}^{2} - 4x} - \frac{x(x + 1)}{x(x - 4)} \\ \frac{2x {}^{2} - x - 8}{ {x}^{2} - 4x} - \frac{ {x}^{2} + x}{ {x}^{2} - 4x} \\ \frac{2x {}^{2} - x - 8 - {x}^{2} - x }{ {x}^{2} - 4x} \\ \frac{x {}^{2} - 2x - 8}{ {x}^{2} - 4x} \\ \frac{ (x - 4)(x + 2)}{x(x - 4)} \\ \frac{x + 2}{x} \\ \\ \\ [/tex]
#TREASURE♢012
#HELLO
#Mashidam☘ =°.°=
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Answers & Comments
Answer:
1.
[tex] \frac{5x}{6} + \frac{2x}{6} \\ \frac{5x + 2x}{6} \\ \frac{7x}{6} \\ \\ [/tex]
2.
[tex] \frac{a {}^{2} - 2a - 7}{ {a}^{2} - 9} + \frac{3a + 1}{ {a}^{2} - 9} \\ \frac{ {a}^{2} - 2a - 7 + 3a + 1}{ {a}^{2} - 9 } \\ \frac{a {}^{2} + a - 6}{ {a}^{2} - 9} \\ \frac{(a + 3)(a - 2)}{(a + 3)(a - 3)} \\ \frac{a - 2}{a - 3} \\ \\ [/tex]
3.
[tex] \frac{7}{4x - 1} - \frac{5}{4x - 1} \\ \frac{7 - 5}{4x - 1} \\ \frac{2}{4x - 1} \\ \\ [/tex]
4.
[tex] \frac{2x {}^{2} - x - 8}{ {x}^{2} - 4x} - \frac{x(x + 1)}{x(x - 4)} \\ \frac{2x {}^{2} - x - 8}{ {x}^{2} - 4x} - \frac{ {x}^{2} + x}{ {x}^{2} - 4x} \\ \frac{2x {}^{2} - x - 8 - {x}^{2} - x }{ {x}^{2} - 4x} \\ \frac{x {}^{2} - 2x - 8}{ {x}^{2} - 4x} \\ \frac{ (x - 4)(x + 2)}{x(x - 4)} \\ \frac{x + 2}{x} \\ \\ \\ [/tex]
#TREASURE♢012
#HELLO
#Mashidam☘ =°.°=