Friday

November 28, 2014

November 28, 2014

Posted by **louise** on Sunday, July 31, 2011 at 2:46am.

- math -
**MathMate**, Sunday, July 31, 2011 at 7:56amUse the binomial theorem,

(X+Y)^n

=(n,0)X^n+(n,1)X^(n-1)Y+....+(n,n-1)XY^(n-1)+(n,n)Y^n

where

(n,i) is the binomial coefficient

=n!/[(n-i)!i!]

For

n=5,

X=1/a

Y=sqrt(a)

we get

(1/a+sqrt(a))^5

=1/a^5 + (5/a^4)sqrt(a) + (10/a^3)a + (10/a^2)a^(3/2) + (5/a)a^2 + a^(5/2)

which simplifies to

1/a^5 + (5/a^(7/2) + 10/a^2 + 10/sqrt(a) + 5a + a^(5/2)

**Answer this Question**

**Related Questions**

math grade 11 - i need help with this quretsion ; i dont know if im right, and i...

math grade 11 - i need help with this quretsion ; i dont know if im right, and i...

Math - Find an equation of the line that bisects the obtuse angles formed by the...

Algebra - How would i complete these problems? 1. (√6mn)^5 2. ^3√16x...

maths - I will be thankfull to you if you help me to solve the below problem: 6...

Math - Determine the exact value of cos 465 degrees a) √3 + √2/2 b...

Algebra Work Check - 1. 5√6 * 1/6√216 5/6 * √1296 5/6 * √...

Math help Ms. Sue please - 1. What is the simplified form of the expression? 7m^...

grade 11 math - I don't get how to do this. I'm so lost please help me. ...

Algebra 2 Answer Check - Simplify by rationalizing each denominator. 1. 2/√...