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  4. The number of terms in the expansion of (x2 +y2 )25 - (x2 - y2)25 after simplification is

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Q. The number of terms in the expansion of $(x^2 +y^2 )^{25} - (x^2 - y^2)^{25} $ after simplification is

KCETKCET 2019Binomial Theorem

Solution:

$\left(a+b\right)^{n}-\left(a-b\right)^{n} $ if n is odd
On simplification we get $\frac{n+1}{2}$ terms $\, i.e., \frac{25+1}{2}=13$ terms