Mathematics

Grade10

Easy

Question

# Which term will be the middle term of (xyz – x)^{2n}?

- (n + 1)
^{th} term - (n + 2)
^{th} term - n
^{th} term - (n – 1)
^{th} term

^{th}term^{th}term^{th}term^{th}term## The correct answer is: (n + 1)^{th} term

### STEP BY STEP SOLUTION

Clearly, 2n is an even number, and the binomial has 2n + 1 terms.

The middle term for a binomial with even power is the term equal to (n/2 + 1), where *n* is the number of terms.

In this case, (2n/2 + 1) = n + 1.

*n*is the number of terms.

In this case, (2n/2 + 1) = n + 1.

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