\(\displaystyle\frac{256\times 256 - 144 \times 144}{112}\) is equal to
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 400
The numerator is a difference of two squares, \(a^2-b^2=(a+b)(a-b)\), so the large products need not be worked out.
Numerator: \(256^2-144^2=(256+144)(256-144)=400\times112\)
Dividing by 112 cancels the 112: \(\displaystyle \frac{400\times112}{112}=400\)