Question

find the difference.\
\\(\dfrac{m + 2}{(m - 4)^2} - \dfrac{m - 2}{(m - 4)^2}\\)\
\\(\bigcirc\\) a. \\(\dfrac{4}{(m - 4)^2}\\)\
\\(\bigcirc\\) b. 0\
\\(\bigcirc\\) c. \\(\dfrac{2}{(m - 4)^2}\\)\
\\(\bigcirc\\) d. \\(\dfrac{2m}{(m - 4)^2}\\)

Explanation:

Step1: Subtract the numerators

Since the denominators are the same \((m - 4)^2\), we subtract the numerators: \((m + 2)-(m - 2)\).

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Step2: Keep the common denominator

The common denominator is \((m - 4)^2\), so the result of the subtraction of the fractions is \(\frac{4}{(m - 4)^2}\).

Answer:

A. \(\frac{4}{(m - 4)^2}\)