WBCS.LIVE practice question

The value of \frac{\left(0.362\right)^3 - \left(0.1\right)^3}{\left(0.362\right)^2 + 0.0362 + \left(0.1\right)^2} is

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 0.352
  2. 0.262
  3. 0.361
  4. 0.252

Correct answer and explanation

Correct answer: 0.262

Explanation: āœ… Correct Answer: B. 0.262 šŸ“š Explanation: This expression follows the formula for (a cubed - b cubed) divided by (a squared + ab + b squared), which simplifies to (a - b). Here, a is 0.362 and b is 0.1. Calculation: 0.362 minus 0.1 results in exactly 0.262. This algebraic shortcut avoids the need for long and complex decimal multiplications.