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In the following exercises, expand each binomial using Pascal's Triangle.

(a-b)6

Short Answer

Expert verified

The expansion isa6-6a5b+15a4b2-20a3b3+15a2b4-6ab5+b6

Step by step solution

01

Given Information

Expand binomial using Pascal's Triangle.

(a-b)6

02

Solution

We have

The exponent is 6 hence seventh row need to be considered

The expansion is

(a-b)6=1a6+6a5(-b)+15a4(-b)2+20a3(-b)3+15a2(-b)4+6a(-b)5+1(-b)6=a6-6a5b+15a4b2-20a3b3+15a2b4-6ab5+b6

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