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simplify expression 9m^2-1/3m+3

simplify expression 9m^2-1/3m+3

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George C. | Humboldt State and Georgetown graduateHumboldt State and Georgetown graduate
5.0 5.0 (2 lesson ratings) (2)
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As shown below, this factors, but that is as far as you can take it:

[(3m-1)(3m+1)]/[3(m+1)]

Bill L. | Patient and works well with students.Patient and works well with students.
5.0 5.0 (634 lesson ratings) (634)
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Starting with:

[9m^2-1]/[3m+3]

factoring the denominator:

[9m^2-1]/[3(m+1)]

rewriting the numerator as:

[(3m)^2-1^2]/[3(m+1)]  "difference of squares" -- special case factoring

[(3m-1)(3m+1)]/[3(m+1)]

canceling like-terms:

(3m-1)/3

or

m - 1/3