Q10 of 274 Page 91

One of the factors of (36x2 – 1) + (1 + 6x)2 is

We have,

(36x2 – 1) + (1 + 6x)2


= [(6x)2 – (1)2] + (1 + 6x)2


= (6x – 1) (6x + 1) + (6x + 1) (6x + 1)


= (6x + 1) (6x – 1 + 1 + 6x)


= (6x + 1) (12x)


∴ (6x + 1) is a factor of (36x2 – 1) + (6x + 1)2


Hence, option B is correct

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