Posted by **peter** on Tuesday, December 20, 2011 at 7:24pm.

simplify: (x+y)^10

simplify: (2a+5)^5

- Math 30 pure -
**Damon**, Tuesday, December 20, 2011 at 8:12pm
I would say expand, not simplify

binomial coefs, use Pascal's triangle (google it if necessary)

for n = 10

1 10 45 120 210 252 then down again

so

x^10 + 10 x^9 y + 45 x^8 y^2 etc

for n = 5

1 5 10 10 5 1

so

(2a)^5 + 5(2a)^4 (5) + 10(2a)^3(5)^2 ...etc

or

32 a^5 + 400 a^4 + 2000 a^3 etc

- Math 30 pure -
**peter**, Tuesday, December 20, 2011 at 9:05pm
why thank you!

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