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Created on: 2012-03-06

A sample problem solved by Quickmath online algebra solver

the outcome of expanding a sum that contains 4 terms. | splitting a sum of 2 terms. to partial fractions

Command

Expand

Expression

((-1)^(2*n)+2/(2*n))^(2*n)

  1. A power. The base is a sum that contains 2 terms. The 1st term of the sum is equal to a power. The base is negative one. The exponent is a product comprising 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to n. The 2nd term of the sum is equal to a fraction: the top of the fraction is two. The bottom of the fraction is a product that consists of 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to n. The exponent is a product of 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is n.
  2. left brace left parenthesis negative one right parenthesis raised to the power of two multiplied by n plus two over two times n right brace to the power of two times n.

Result

((-1)^(2*n)+1/n)^(2*n)

  1. A power. The base is a sum of 2 terms. The 1st term of the sum is equal to a power. The base is negative one. The exponent is a product that contains 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to n. The 2nd term of the sum is a rational expression: the numerator of the rational expression is one. The denominator of the rational expression is n. The exponent is a product that consists of 2 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to n.
  2. open bracket left bracket negative one right bracket raised to the power two times n plus one divided by n close bracket raised to the power two times n;