Question
The simplified value of (452 x 452 x 452 – 356 x 356 x
356)/(452 x 356 + 452 x 452 + 356 x 356) is:Solution
(452 x 452 x 452 – 356 x 356 x 356)/(452 x 356 + 452 x 452 + 356 x 356) = (4523 – 3563)/(452 x 356 + 4522 + 3562) Using, (a3 - b3) = (a - b)(a2 + ab + b2) = (452 – 356) x (452 x 356 + 4522 + 3562)/ (452 x 356 + 4522 + 3562) = 96
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