2017 · Q10
What is the value of ((443+547)²+(443-547)²)/(443 × 443 + 547 × 547) ?
Elementary MathematicsAlgebra
- A0
- B1
- C2
- D3
Explanation
Using (x+y)² + (x−y)² = 2x² + 2y² with x = 443, y = 547, the numerator equals 2(443² + 547²). The denominator is exactly 443² + 547², so the ratio is 2: option C. Options A and B come from mis-expanding the squares.