A collection of more than one term.
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For example if it was y+y+y it would be 3y. or 3x+2y-1x= (3-1)x + 2y = 2x + 2y = 2(x+y) I'm not sure that the above addresses the question of rational algebraic expressions. You can simplify by finding common factors between numerator and denominator, or try long division, if no factors are evident. See the related link for "How do you divide rational algebraic expression"
Basically, a rational expression would include only additions, subtractions, multiplications, divisions, and integer powers, while an irrational expression could, in addition, include several additional functions, such as roots (or equivalently, non-integer powers), exponential functions, logarithms, trigonometric functions, and just about any other function.
Suppose the function is "multiply a number x by two then subtract three and divide the whole thing by five". The algebraic expression would be: f(x) = (2x-3)/5
They are the same. A fraction is one integer divided by another integer. A rational number can be expressed as the quotient of two integers. If you're wondering about the easier method for dividing two fractions, say ( a / b ) / ( c / d ) it would be ( a / b ) * ( d / c ).
3x2 has x, x2 , and 3 as factors. 2x-5 does not have any of those as factors. So the greatest common factor is 1. If you were adding rational expressions with those two expressions in the denominator, you would need to multiply them together to find the least common denominator.