A collection of more than one term.
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 ).
To subtract two rational expressions by simply subtracting the numerators, the denominators of the expressions must be equal. This ensures that the fractions are equivalent in terms of their base values, allowing for direct subtraction. If the denominators are not the same, you would need to find a common denominator before performing the subtraction.
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
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.
No
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.
To subtract two rational expressions by simply subtracting the numerators, the denominators of the expressions must be equal. This ensures that the fractions are equivalent in terms of their base values, allowing for direct subtraction. If the denominators are not the same, you would need to find a common denominator before performing the subtraction.
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.