SSC CGL 2024 PYQ — Question 54

SSC CGL - 09 Sep 2024 - Shift 1 • Quantitative Aptitude • Q54

Simplify: (x2−9)x+3\frac{(x^2-9)}{x+3}

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. x - 3.

a2 - b2 = (a + b)(a - b)

According to the given question,

(x2−9)x+3\frac{(x^2-9)}{x+3} = (x2−32)x+3\frac{(x^2-3^2)}{x+3}

⇒ (x+3)(x−3)x+3{(x+3)(x-3)}\over {x + 3} = x - 3