Correct Answer - Option 4 : 5
Given:
(68 × 68 × 68 − 63 × 63 × 63)/(68 × 68 + 68 × 63 + 63 × 63) =?
Formula used:
(a3 - b3) = (a - b)(a2 + ab + b2)
Calculation:
Let
⇒ x = (68 × 68 × 68 − 63 × 63 × 63)/(68 × 68 + 68 × 63 + 63 × 63)
⇒ x = (683 - 633)/(682 + 68 × 63 + 632)
⇒ x = (68 - 63)(682 + 68 × 63 + 632)/(682 + 68 × 63 + 632)
⇒ x = 68 - 63
⇒ x = 5
∴ The value of (68 × 68 × 68 − 63 × 63 × 63)/(68 × 68 + 68 × 63 + 63 × 63) is 5.
