MCQ practice · SSC Higher Mathematics Board questions · Chapter 10: Binomial Expansion
What is the m-free term in the expansion of (m³ + 1/m³)⁴?
Think it through first, then pick an option.
- a 0
- b 4
- c 6
- d 8
Answer and explanation
Correct answer: c 6
m^(12−6r) = m⁰ gives r = 2: ⁴C₂ = 6, so this is the value.
Why the other options are wrong
- a 0: 0 would mean no m-free term; at r = 2 there is one. The right answer is 6.
- b 4: 4 is ⁴C₁; the 2nd term contains m⁶. The right answer is 6.
- d 8: 8 does not come from a correct working. The right answer is 6.
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