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Factorise: $9 x^{2} - 42 x + 49$ ?

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(3 x - 7) (3 x - 7)

(3 x + 7) (3 x + 7)

(3 x + 7) (3 x - 7)

(3 x - 7) (3 x + 7)

answer is A.

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Detailed Solution

Given:

f (x) = 9 x^{2} - 42 x + 49

= 9 x^{2} - (21 + 21) x + 49

= 9 x^{2} - 21 x - 21 x + 49

= 3 x (3 x - 7) - 7 (3 x - 7)

= (3 x - 7) (3 x - 7)

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