What is the value of 1.65 × 1.65 × 1.65 + 0.35 × 0.35 × 0.35 + 3.465?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 8.
We know,
⇒ (a + b)3 = a3 + b3 + 3ab(a + b)
Now,
⇒ 1.65 × 1.65 × 1.65 + 0.35 × 0.35 × 0.35 + 3.465
⇒ 1.653 + 0.353 + 3 × 1.65 × 0.35 × (1.65 + 0.35)
We have,
a = 1.65 and b = 0.35
⇒ (1.65 + 0.35)3
⇒ 23 = 8