14² + 16² + 24² + 2(14×16 + 16×24 + 24×14) = ?
Show answer & explanation
Correct answer: B
Explanation
Given:
14² + 16² + 24² + 2(14×16 + 16×24 + 24×14)
According to the formula:
(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
This entire expression = (14 + 16 + 24)² = 54² = 2916