One of the factors of 6x² – 24xy + 17x + 24y² – 34y + 5 is:

Correct option is C

​$$\textbf{Given:} \\6x^2 - 24xy + 17x + 24y^2 - 34y + 5 \\\textbf{Concept Used:} \\\text{Factorisation by grouping} \\\textbf{Formula Used:} \\ax^2 + bx + c = (px + q)(rx + s) \\\textbf{Solution:} \\6x^2 - 24xy + 24y^2 + 17x - 34y + 5 \\= 6(x^2 - 4xy + 4y^2) + 17(x - 2y) + 5 \\= 6(x - 2y)^2 + 17(x - 2y) + 5 \\\text{Let } t = (x - 2y) \\6t^2 + 17t + 5 \\= (3t + 1)(2t + 5) \\= (3x - 6y + 1)(2x - 4y + 5) \\\textbf{Final Answer:} \\3x - 6y + 1$$​​