Which expression is equivalent to? m-4/m+4 / (m+2)

Question

Mathematics

Aubrey Ross

5 December, 16:46

Which expression is equivalent to? m-4/m+4 / (m+2)

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Makena Lamb · Answer 1

Simplify the following:m - 4/m + 4 / (m + 2)

Put each term in m - 4/m + 4 / (m + 2) over the common denominator m (m + 2) : m - 4/m + 4 / (m + 2) = (m^2 (m + 2)) / (m (m + 2)) - (4 (m + 2)) / (m (m + 2)) + (4 m) / (m (m + 2)) : (m^2 (m + 2)) / (m (m + 2)) - (4 (m + 2)) / (m (m + 2)) + (4 m) / (m (m + 2))

(m^2 (m + 2)) / (m (m + 2)) - (4 (m + 2)) / (m (m + 2)) + (4 m) / (m (m + 2)) = (m^2 (m + 2) - 4 (m + 2) + 4 m) / (m (m + 2)) : (m^2 (m + 2) - 4 (m + 2) + 4 m) / (m (m + 2))

m^2 (m + 2) = m^3 + 2 m^2: (m^3 + 2 m^2 - 4 (m + 2) + 4 m) / (m (m + 2))

-4 (m + 2) = - 4 m - 8: (m^3 + 2 m^2 + 4 m + - 4 m - 8) / (m (m + 2))

Grouping like terms, m^3 + 2 m^2 + 4 m - 4 m - 8 = m^3 + 2 m^2 - 8 + (-4 m + 4 m) : (m^3 + 2 m^2 - 8 + (-4 m + 4 m)) / (m (m + 2))

4 m - 4 m = 0:Answer: (m^3 + 2 m^2 - 8) / (m (m + 2))

Porter · Answer 2

Im guessing its B but im not sure