Discussion
Find the value of \(0.125 + 0.027\) / \(0.25 - 0.15 + 0.09\).
Answer: D
The numerator is in the form \(a^3+b^3\) and the denominator is in the form \(a^2-ab+b^2\). Let a=0.5 and b=0.3. Then \(a^3=0.125\) and \(b^3=0.027\). Denominator is \(a^2-ab+b^2 = 0.5^2 - (0.5)(0.3) + 0.3^2 = 0.25 - 0.15 + 0.09\). This matches.
We know that \(a^3+b^3 = (a+b)(a^2-ab+b^2)\).
So the expression simplifies to \(a+b\).
Value = 0.5 + 0.3 = 0.8.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development