What is the value of \(\displaystyle\frac{468^{2}-332^{2}}{136}\)?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 800
Use the identity \(a^{2}-b^{2}=(a+b)(a-b)\), so the large squares never need to be worked out.
\(a+b=468+332=800\)
\(a-b=468-332=136\)
\(\displaystyle\frac{800\times136}{136}=800\)