Practicing Success
Find the value of (72)3 - (23)3 - (24)3 - (25)3 . |
3 × 47 × 49 × 48 3 × 50 × 26 × 25 3 × 26 × 47 × 25 0 |
3 × 47 × 49 × 48 |
(x + y + z)3 - x3 - y3 - z3 ⇒ x3 + y3 + z3 + 3(x + y) (y + z) (z + x) - x3 - y3 - z3 ⇒ 3 (23 + 24) (24 + 25) (25 + 23) ⇒ 3 × 47 × 49 × 48 |