Search any question & find its solution
Question:
Answered & Verified by Expert
The number of terms in the expansion of $(x+a)^{100}+$ $(x-a)^{100}$ after simplification is
Options:
Solution:
1565 Upvotes
Verified Answer
The correct answer is:
51
$(x+a)^{100}+(x-a)^{100}$
Simple logic is we get ${ }^{\mathrm{n}} \mathrm{c}_{0},{ }^{\mathrm{n}} \mathrm{c}_{2},{ }^{\mathrm{n}} \mathrm{c}_{4} \ldots{ }^{\mathrm{n}} \mathrm{C}_{100}$ in this
expansion.
The number of terms from ${ }^{\mathrm{n}} \mathrm{c}_{0}$ to ${ }^{\mathrm{n}} \mathrm{c}_{100}$ are 51
Simple logic is we get ${ }^{\mathrm{n}} \mathrm{c}_{0},{ }^{\mathrm{n}} \mathrm{c}_{2},{ }^{\mathrm{n}} \mathrm{c}_{4} \ldots{ }^{\mathrm{n}} \mathrm{C}_{100}$ in this
expansion.
The number of terms from ${ }^{\mathrm{n}} \mathrm{c}_{0}$ to ${ }^{\mathrm{n}} \mathrm{c}_{100}$ are 51
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.