SSC CHSL 2022 PYQ — Question 65

The correct answer is Option 3 i.e. (x - 7) (x + 3).

(x² - 14x + 49) (x² + 6x + 9)

(a + b)² = a² + b² + 2ab

(a - b)² = a² + b² - 2ab

According to the given question,

The square root of (x² - 14x + 49) (x² + 6x + 9) = $\sqrt{(x^2 - 14x + 49) (x^2 + 6x + 9)}$

= $\sqrt{(x-7)(x-7) (x+ 3)(x+3)}$

⇒  (x - 7)(x + 3)

Hence, the required answer is (x - 7)(x + 3).