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Chapter 12: Q. 194E (page 1213)

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

(m+n)10

Short Answer

Expert verified

The expansion ism10+10m9n+45m8n2+120m7n3+210m6n4+252m5n5+210m4n6+120m3n7+45m2n8+10mn9+n10

Step by step solution

01

Given Information

Expand binomial using Pascal's Triangle

(m+n)10

02

Solution

We have

The exponent is 10 hence eleventh row need to be considered

The expansion is

(m+n)10=1m10+10m9n+45m8n2+120m7n3+210m6n4+252m5n5+210m4n6+120m3n7+45m2n8+10mn9+1n10=m10+10m9n+45m8n2+120m7n3+210m6n4+252m5n5+210m4n6+120m3n7+45m2n8+10mn9+n10

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