Question
use the binomial theorem to expand the binomial
(x+5)^5
I have tried it like 4 times but i cannot get it right
(x+5)^5
I have tried it like 4 times but i cannot get it right
Answers
Damon
row for n =5 is
1 5 10 10 5 1
1 x^5 5^0
5 x^4 5^1
10 x^3 5^2
10 x^2 5^3
5 x^1 5^4
1 x^0 5^5
so
x^5 + 5 x^4(5) + 10 x^3(25) + 10x^2(125) + 5 x(625) + 3125
which is
x^5 + 25 x^4 + 250 x^3 + 1250 x^2 + 3125 x + 3125
1 5 10 10 5 1
1 x^5 5^0
5 x^4 5^1
10 x^3 5^2
10 x^2 5^3
5 x^1 5^4
1 x^0 5^5
so
x^5 + 5 x^4(5) + 10 x^3(25) + 10x^2(125) + 5 x(625) + 3125
which is
x^5 + 25 x^4 + 250 x^3 + 1250 x^2 + 3125 x + 3125