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.
The coefficients in a rational expression would be rational numbers.
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.
LCD is probably a typo for LCM. The least common divisor of any number is 0 since 0 is the smallest natural number and divides all numbers.The LCM of two rational algebraic expressions is often used to add or subtract the two expressions. The method used is to identify all common factors in the denominator of the expressions, and multiply the numerators by the uncommon factors (exactly like you would for non-algebraic fractions).example:(2/(a+b)xyz) + (4/(a+b)cdz)the common factors are (a+b), and z. You must multiply the left expression by cd, and the right expression by xy to get(2cd+4xy) / (a+b)cdxyz
No
Algebraic expressions are mathematical phrases that contain numbers, operations and at least one variable. An example of an algebraic expression would be : 4x + 3= 9x.
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
Rational-legal authority
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 ).
I use my own methods, as do most people who would want to do such. Just find your own way that works for you.
Algebraic expressions are useful for translating problems into the language of mathematics. An algebraic expression for the problem "6 times the sum of 4 and y" would be: 6(4+y) = 24 + 6y.
Yes, you can but it depends on the context. You can simplify fractions, or simplify surds, or algebraic expressions and in each case the simplification means different things. So if you want a sensible answer to your question I would suggest that you use a proper question rather than stick a quastion mark at the end of a phrase!