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Chapter 12: Q. 12.75. (page 1211)

Find the third term ofx+y6

Short Answer

Expert verified

The third of the expansion is15x4y2

Step by step solution

01

Step 1. Use the r+1st term formula.

The r+1stterm in the binomial expansion of a+bnis nran-rbr

Substitute in the values into the binomial expansion,

a=xb=yn=6

02

Step 2. Substitute the values into the formula and simplify.

We are looking for the third term.

since r+1=3

then r=2.

Simply the expression,

x+y6=62x6-2y2=6!2!4!x4y2=15x4y2

03

Step 3. Conclusion.

Therefore, the third term of the given expression is15x4y2

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