14² + 16² + 24² + 2(14 × 16 + 16 × 24 + 24 × 14) = ?

Correct option is B

Given:
Expression: $$14^2 + 16^2 + 24^2 + 2(14 × 16 + 16 × 24 + 24 × 14)$$​​
Formula Used:
Algebraic Identity:

$$(a + b + c)^2 = a^2 + b^2 + c^2 + 2(a × b + b × c + c × a)$$​​
Solution:
From the given expression, we can map the terms to the identity where:
a = 14, b = 16, c = 24
Therefore, the expression can be written as:
​$$(14 + 16 + 24)^2$$​​
First, find the sum inside the bracket:
14 + 16 + 24 = 54
Now square the result:
$$(54)^2$$​ = 2916
Final Answer
So the correct answer is (b)