Simplify: `2a-(1/3)a^2+5a+(1/9)a` Leave in factored form.
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`2a -(1/3)a^2 +5a +(1/9)a`
`2a -a^2/3 + 5a + a/9`
Combine like terms.
`7a - a^2/3 +a/9`
Remember in order to add fractions, the denominators must be equal.
Here, the least common denominator is 9. Complete the multiplication to get 9 in each denominator.
`(9/9) ((7a)/1) - (a^2/3) (3/3)+ a/9`
`(63a)/9 - (3a^2)/9 +a/9`
`(63a-3a^2 +a)/9`
`(64a-3a^2)/9`
`(-3a^2 +64a)/9`
`(-a(3a-64))/9`
The solution is:
`(-a(3a-64))/9`
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