Simplify the following expression:
((25)4 + 1250 + 1 − (25)²) / ((25)² + 26)
Show answer & explanation
Correct answer: B
Explanation
Given:
((25)4 + 1250 + 1 − (25)²) / ((25)² + 26)
By the formula:
(a² + 2ab + b²) = (a + b)²
(25)4 = 390625
(25)² = 625
Numerator = 390625 + 1250 + 1 − 625 = 391251
Denominator = 625 + 26 = 651
Value = 391251 / 651 = 601