Answer: (c) \(16x^{2}+24x+9\).
Step-by-step explanation:
(a) \(9x^{2} +9x+1\) cannot be further factorised, so this is not correct option.
(b) \(36b^{2}-24b+8\) also cannot be expressed as factors, and hence this is too not correct.
(c) \(16x^{2}+24x+9=({4x+3} )^2\), the correct one.
(d) \(4a^{2}-10a+25\) cannot be factorised, so its not correct.
Thus, (c) \(16x^{2}+24x+9\) is the correct option.
