Answer and explanation

Correct answer: A.

  1. Step 1: Take out the common factor 3: .
  2. Step 2: Recognise .
  3. Step 3: So the full factorisation is .
Answer
.
Why not the others: : treats the difference of squares as a perfect square. : is not fully factorised because still has a common factor of 3. : does not multiply back to .

Practise more Algebra.

Free questions with an explanation for every one, and full timed ESAT (Engineering and Science Admissions Test) mock tests.