Explanation:

Since A and B are roots of the equation ax² + bx + c = 0,

⇒ Sum of roots, A + B = -b/a

⇒ Product of roots, AB = c/a

If the roots are (AB + A + B) and (AB – A – B),

⇒ Sum of roots = 2AB = 2c/a

⇒ Multiplication of roots = A²B² – A²B – AB² + A²B – A² – AB + AB² – AB – B²

⇒ A²B² – A² – B² – 2AB

⇒ A²B² – (A + B)²

Putting the value of AB and (A + B),

⇒ c²/a² – b²/a²

⇒ (c² – b²) /a²

Now the equation according to the roots,

⇒ x² + (-Sum of roots)x + (Multiplication of roots) = 0

⇒ x² – (2c/a)x + [(c² – b²) /a²] = 0

⇒ a²x² – 2acx + c² – b² = 0

Hence, option 3 is the correct answer.