SSC CGL 2024 PYQ — Question 63

The correct answer is Option 3 i.e. x² + 10x + 25.

 $\frac{x^3+15x^2+75x+125}{x^2-25}(x - 5)$

a³ + 3a²b + 3ab² + b³ = (a + b)³

a² - b² = (a + b)(a - b)

⇒ $\frac{(x+5)^3}{(x-5)(x+5)}(x - 5)$ 

= (x + 5)²

⇒ x² + 10x + 25