Created on: 2012-04-12

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2+5/7/3+2/7 problem solved

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Expression

(x^4-18*x^3+(-110)*x^2+1332*x+1368)/(x^2-18*x-36)

  1. A rational expression: the numerator of the rational expression is a sum containing 5 terms. The 1st term of the sum is a power. The base is x. The exponent is four. The 2nd term of the sum is equal to a negative product of 2 factors. The 1st factor of the product is eighteen. The 2nd factor of the product is equal to a power. The base is x. The exponent is three. The 3rd term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is equal to negative one hundred ten. The 2nd factor of the product is a power. The base is x. The exponent is two. The 4th term of the sum is equal to a product consisting of 2 factors. The 1st factor of the product is one thousand three hundred and thirty two. The 2nd factor of the product is equal to x. The 5th term of the sum is one thousand three hundred and sixty eight. The denominator of the rational expression is a sum that consists of 3 terms. The 1st term of the sum is equal to a power. The base is x. The exponent is two. The 2nd term of the sum is equal to a negative product containing 2 factors. The 1st factor of the product is equal to eighteen. The 2nd factor of the product is x. The 3rd term of the sum is equal to negative thirty six.
  2. x to the power four plus negative eighteen times x raised to the power of three plus left parenthesis negative one hundred ten right parenthesis multiplied by x raised to the power two plus one thousand three hundred and thirty two times x plus one thousand three hundred and sixty eight fraction line x to the power two plus negative eighteen multiplied by x plus negative thirty six.

Result

(x^4-18*x^3-110*x^2+1332*x+1368)/(x^2-18*x-36)

  1. A quotient: dividend of the quotient is a sum that consists of 5 terms; the 1st term of the sum is a power; the base is x; the exponent is four; the 2nd term of the sum is a negative product that contains 2 factors; the 1st factor of the product is eighteen; the 2nd factor of the product is a power; the base is x; the exponent is three; the 3rd term of the sum is equal to a negative product that consists of 2 factors; the 1st factor of the product is one hundred ten; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the 4th term of the sum is a product that comprises 2 factors; the 1st factor of the product is equal to one thousand three hundred and thirty two; the 2nd factor of the product is x; the 5th term of the sum is equal to one thousand three hundred and sixty eight; divisor of the quotient is a sum comprising 3 terms; the 1st term of the sum is a power; the base is x; the exponent is two; the 2nd term of the sum is equal to a negative product comprising 2 factors; the 1st factor of the product is equal to eighteen; the 2nd factor of the product is equal to x; the 3rd term of the sum is equal to negative thirty six;
  2. x raised to the power of four plus negative eighteen times x raised to the power three plus negative one hundred ten multiplied by x exponentiated by two plus one thousand three hundred and thirty two times x plus one thousand three hundred and sixty eight divided by x exponentiated by two plus negative eighteen times x plus negative thirty six;