What is the expansion of x-14?

brojevnids4

brojevnids4

Answered

2022-12-14

What is the expansion of x-14?

Answer & Explanation

Aryan Baxter

Aryan Baxter

Expert

2022-12-15Added 3 answers

Determine the expansion of x-14.
We are aware that the binomial theorem says(a+b)n=k=0nckn·(an-kbk).
Figure out the expansion of x-14:
From the binomial theorem,
x-14=k=044!4-k!k!x4-k-1kx-14=4!4-0!0!x4-0-10+4!4-1!1!x4-1-11+4!4-2!2!x4-2-12+4!4-3!3!x4-3-13+4!4-4!4!x4-4-14x-14=1x4-10+4x3-11+6x2-12+4x1-13+1x0-14x-14=x4-4x3+6x2-4x+1
Hence, the required expansion isx-14=x4-4x3+6x2-4x+1.

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