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Binomial Expression

Find the numb...

Question

Find the number of terms in the expansion of $(1 - 2 x + x^{2})^{7}$ .

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Solution

$(1 - 2 x + x^{2})^{7}$
$= (x^{2} - 2 x + 1)^{7}$
$= [(x - 1)^{2}]^{7}$
$= (x - 1)^{14}$
Number of terms is $14 + 1 = 15$ .

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