Respuesta :

Answer:

-1/6(-a+1)

Step-by-step explanation:

1. Factor out -1/6 from the expression: -1/6(4a-5a+1)

2. Collect the terms: -1/6(-a+1)

Final Answer: -1/6(-a+1)

Like it is stated, combine like terms. In case you don't know what that means, then the question is essentially asking for you to add/subtract etc. expressions from each other that have the same variable.

[tex]Given: -\frac{2}{3} a + \frac{5}{6}a - \frac{1}{6} \\\\[/tex]

[tex]Note: -\frac{2}{3}a = -\frac{4}{6}a[/tex]

[tex]-\frac{4}{6}a + \frac{5}{6}a - \frac{1}{6} = \\\\\frac{1}{6}a - \frac{1}{6} \\[/tex]

So, [tex]\frac{1}{6}a - \frac{1}{6}[/tex] is the new and equivalent expression. We cannot do anything further because there are no like terms.