SOLUTION: (2r^(-1)+ s^(-1))^5 Expand the sum of the two terms of a Binomial. Using the Binomial Theorem.

Question 269183: (2r^(-1)+ s^(-1))^5 Expand the sum of the two terms of a Binomial. Using the Binomial Theorem.
Answer by persian52(161) (Show Source): You can put this solution on YOUR website!
Hope that helps you!
----------------------
(2r^(-1)+s^(-1))^(5)
Remove the negative exponent in the numerator by rewriting 2r^(-1) as (2)/(r). A negative exponent follows the rule: a^(-n)=(1)/(a^(n)).
((2)/(r)+s^(-1))^(5)
Remove the negative exponent in the numerator by rewriting s^(-1) as (1)/(s). A negative exponent follows the rule: a^(-n)=(1)/(a^(n)).
((2)/(r)+(1)/(s))^(5)
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is rs. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
((2)/(r)*(s)/(s)+(1)/(s)*(r)/(r))^(5)
Complete the multiplication to produce a denominator of rs in each expression.
((2s)/(rs)+(r)/(rs))^(5)
Combine the numerators of all expressions that have common denominators.
((2s+r)/(rs))^(5)
Expand the exponent of 5 to the inside factor (2s+r).
((2s+r)^(5))/((rs)^(5))
Expand the exponent 5 to rs.
Answer: ((2s+r)^(5))/(r^(5)s^(5))
RELATED QUESTIONS
(2r^(-1)+s^(-1) )^5 Expand the... (answered by persian52)

Using the binomial theorem, expand the binomial (2x +... (answered by MathLover1)

Expand the binomial using the binomial theorem: ( 2x3 - 3y )4 (answered by consc198)

Use the Binomial Theorem to expand the binomial. (3v +... (answered by jim_thompson5910,mouk)

Determine the no. of terms in the expansion (2x^2-(1/4x))^12. I got 13, by using the... (answered by Fombitz)

Use the Binomial Theorem to expand the binomial. (x+1)^6 show work... (answered by jim_thompson5910)

Use the Binomial Theorem to expand the binomial (3a+1)^3 show work... (answered by Alan3354)

Expand using the binomial theorem:... (answered by AnlytcPhil)

expand using the binomial theorem {{{ (2x^2-y)^2... (answered by robertb)