Simplify:
$4 a^{2} + 12 a + 9 - m^{2} + 2 m n - n^{2}$

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Solution

Now,
$4 a^{2} + 12 a + 9 - m^{2} + 2 m n - n^{2}$
$= {(2 a + 3)}^{2} - {(m - n)}^{2}$
$= (2 a + 3 + m - n) (2 a + 3 - m + n)$ .

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