Please help me simplify. v^2 + 2v - 24 / 3v^2 - 33v + 84

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Please help me simplify. v^2 + 2v - 24 / 3v^2 - 33v + 84

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Ok first see if you can factor the numerator to do this you need to think of 2 numbers with a product of -24 and a sum of + 2.
taking the numbers to be a and b the factors will look like (x + a)(x + b)
start by looking at the denominator and factoring out 3

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\[\frac{v^2 +2v -24}{3(v^2 - 11v + 24)}\] then factor each quadratic... for the numerator find the factors of -24 that add to 2... the larger factor is positive for the denominator find the factors of 24 that add to - 11, both factors are negative. then see if there are any common factors that can be removed.

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