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Chapter 12: Q. 342 (page 1222)

Expand the binomial using Pascal鈥檚 Triangle.

m-2n5

Short Answer

Expert verified

On expanding the binomial, we get,

m-2n5=m5-10m4n+40m3n2-80m2n3+80mn4-32n5

Step by step solution

01

Step 1. Given information.

Consider the given question,

m-2n5

Compare a+bnwith the given expression,

a=m,b=-2n,n=5

To find the coefficients, we go to Pascal's Triangle and read off the coefficients from the row whose second entry isn=5.

02

Step 2. Use the Pascal's Triangle.

Consider the Pascal's Triangle,

Write the expansions by focusing on the coefficients,

m-2n5=1m5+5m4-2n+5!3!2!m34n2+5!2!3!m2-8n3+5!4!1!m16n4+1-32n5m-2n5=m5-10m4n+40m3n2-80m2n3+80mn4-32n5

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