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Answer C

16x²+24x+9=(4x+3)²

Answer: (c)  [tex]16x^{2}+24x+9[/tex].


Step-by-step explanation:

(a) [tex]9x^{2} +9x+1[/tex] cannot be further factorised, so this is not correct option.

(b) [tex]36b^{2}-24b+8[/tex] also cannot be expressed as factors, and hence this is too not correct.

(c) [tex]16x^{2}+24x+9=({4x+3} )^2[/tex], the correct one.

(d) [tex]4a^{2}-10a+25[/tex] cannot be factorised, so its not correct.

Thus, (c) [tex]16x^{2}+24x+9[/tex] is the correct option.

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