If $16^2 − k = (4y + \frac{3}{2})( 4y − \frac{3}{2})$, then the value of k is:

$\frac{9}{4}$ $\frac{11}{4}$ $\frac{6}{4}$ $\frac{7}{4}$

$\frac{9}{4}$

$16^2 − k = (4y + \frac{3}{2})( 4y − \frac{3}{2})$ = a2 – b2 = (a - b) (a + b)------(1) $16^2 − k = (4y )^2 -  (\frac{3}{2}^2)$ 162 - k = 16y2 - $(\frac{9}{4})$------(2) comparing (2) with (1) we get, k = $(\frac{9}{4})$