What is the coefficient of x⁴ in the expansion of ( 1 + x)(1-x)^n

Mathematics

1 answer:

arlik [135]3 years ago

5 0

Answer:

=(-1)^n (1-n)

Step-by-step explanation:

=coefficient of x^n in (1-x)^n + coefficient of x^n-1 in (1-x)^n

=(-1)^n ^nCn + (-1)^n-1 ^nCn -1

=(-1)^n (1-n)

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What is the coefficient of x⁴ in the expansion of ( 1 + x)(1-x)^n​

What is the coefficient of x⁴ in the expansion of ( 1 + x)(1-x)^n