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In the following exercises, expand each binomial y-34 .

Short Answer

Expert verified

The Binomial expansion is y4-12y3+54y2-108y+81.

Step by step solution

01

Step 1. Given Information.

The expression is y-34.

02

Step 2. Apply Binomial Theorem

Binomial Theorem is :-a+bn=∑i=0nnian-ibi

03

Step 3. Solve for Binomial Theorem .

Using Binomial Theorem , we get:-

∑i=044iy4-i-3i

Expanding :-

4!0!4-0!y4-30+4!1!4-1!y3-31+4!2!4-2!y2-32+4!3!4-3!y-331+4!4!4-4!y0-34

Simplifying the terms ,we get:-

y4-12y3+54y2-108y+81

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