The value of (6.35 × 6.35 × 6.35 + 3.65 × 3.65 × 3.65)/(63.5 × 63.5 + 36.5 × 36.5 - 63.5 × 36.5) is equal to :
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 0.1
(6.35 × 6.35 × 6.35 + 3.65 × 3.65 × 3.65)/(63.5 × 63.5 + 36.5 × 36.5 - 63.5 × 36.5)
(a3 + b3) = (a + b) × (a2 + b2 - ab)
(6.35 × 6.35 × 6.35 + 3.65 × 3.65 × 3.65)/(63.5 × 63.5 + 36.5 × 36.5 - 63.5 × 36.5)
= [(6.35)3 + (3.65)3]/[(63.5 × 10)2 + (36.5 × 10)2 - 63.5 × 10 × 36.5 × 10)]
= [(6.35 + 3.65)(6.352 + 3.652 - 6.35 × 3.65)]/100[(6.35)2 + (3.65)2 - 6.35 × 3.65]
= 10/100
= 0.1