If (4a +5/a +5) = 14, what is the value of (16a^2 +25/(a^2)) ?

If $(4a +\frac{5}{a} +5) = 14$

4a + \(\frac{5}{a}\) = 14 - 5 = 9

Put a = 1 that will satisfy the equation

$(16a^2 +\frac{25}{a^2})$ = $(16 × 1^2 +\frac{25}{1^2})$ = 16 + 25= 41