an algebraic expression
yes.
In mathematics, expressions that have the same variable and exponent are termed "like terms." For example, (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the exponent of 2. Like terms can be combined through addition or subtraction, resulting in ( (3 + 5)x^2 = 8x^2). This property is essential for simplifying algebraic expressions.
Like terms.
They are identical or equivalent.
In algebra, expressions that have the same variable and exponents are considered like terms. For example, the terms (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the same exponent of 2. Like terms can be combined through addition or subtraction, while terms with different variables or exponents cannot be combined in this way.
yes.
Two expressions are "equivalent" if they have the same result for any values of the variable or variables.
Terms that contain the same variable is called "like terms".
In mathematics, expressions that have the same variable and exponent are termed "like terms." For example, (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the exponent of 2. Like terms can be combined through addition or subtraction, resulting in ( (3 + 5)x^2 = 8x^2). This property is essential for simplifying algebraic expressions.
There is no specific name. They can be fractions which contain algebraic or trigonometric or non-integral exponential expressions.
Yes, (7ab) is like (ab) in that both expressions contain the same variables, (a) and (b). The difference is that (7ab) is scaled by a factor of 7, meaning it is seven times the value of (ab). In terms of algebraic expressions, they represent different quantities but share the same variable structure.
Like terms.
They are identical or equivalent.
Terms that contain the same variable is called "like terms".
In algebra, expressions that have the same variable and exponents are considered like terms. For example, the terms (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the same exponent of 2. Like terms can be combined through addition or subtraction, while terms with different variables or exponents cannot be combined in this way.
Expressions have to contain numbers and letters.
In the same way that you would factorise any other expressions that do not contain an equality sign depending on the expressions of which none have been given.