They are known as like terms.
Terms with different variables or the same variables raised to different powers are called "monomials." A monomial is a single term that can be a number, a variable, or a product of numbers and variables raised to non-negative integer exponents. For example, (3x^2), (5y), and (-2xy^3) are all monomials. When combining such terms in algebraic expressions, only like terms (terms with the same variables raised to the same powers) can be added or subtracted.
A like term for 14xy would be any term that has the same variables raised to the same powers. For example, 7xy, -14xy, or 3xy would all be considered like terms, as they share the same variable components (x and y) with the same exponents.
That means that you are supposed to add them.Multiplying the same variable raised to different powers is equivalent to adding the exponents. For example, 10^5 x 10^3 = 10^(5+3) = 10^8. (Using "^" for powers.)
A term with the same variables raised to the same power and all constants is referred to as a "like term." Like terms can be combined by adding or subtracting their coefficients while keeping the variable part unchanged. For example, (3x^2) and (5x^2) are like terms, and their combination would result in (8x^2).
The monomial of ( 11cd ) is a single term consisting of the coefficient ( 11 ) and the variables ( c ) and ( d ). It can be expressed as ( 11 \times c^1 \times d^1 ). Monomials are characterized by having one term only, and they can include numerical coefficients and variables raised to non-negative integer exponents.
Terms with different variables or the same variables raised to different powers are called "monomials." A monomial is a single term that can be a number, a variable, or a product of numbers and variables raised to non-negative integer exponents. For example, (3x^2), (5y), and (-2xy^3) are all monomials. When combining such terms in algebraic expressions, only like terms (terms with the same variables raised to the same powers) can be added or subtracted.
The degree of a term is the sum of the exponents on the variables.
A like term for 14xy would be any term that has the same variables raised to the same powers. For example, 7xy, -14xy, or 3xy would all be considered like terms, as they share the same variable components (x and y) with the same exponents.
These terms are called like terms.For example: x and 2x are like terms.But: x3 and 4x2 are not like termsbecause although the variables are the same, the exponents are different.
Degree of a Polynomial
That means that you are supposed to add them.Multiplying the same variable raised to different powers is equivalent to adding the exponents. For example, 10^5 x 10^3 = 10^(5+3) = 10^8. (Using "^" for powers.)
dissimilar terms are terms that do not have the same variable or the variable do not contain the same number of exponents
A term with the same variables raised to the same power and all constants is referred to as a "like term." Like terms can be combined by adding or subtracting their coefficients while keeping the variable part unchanged. For example, (3x^2) and (5x^2) are like terms, and their combination would result in (8x^2).
The monomial of ( 11cd ) is a single term consisting of the coefficient ( 11 ) and the variables ( c ) and ( d ). It can be expressed as ( 11 \times c^1 \times d^1 ). Monomials are characterized by having one term only, and they can include numerical coefficients and variables raised to non-negative integer exponents.
Polynomial
The sum of the exponents for two variables in a polynomial or algebraic expression is called the degree of the term. For example, in the term (x^m y^n), the degree is (m + n). This concept helps determine the overall degree of the polynomial when combining multiple terms.
Multiply-Add Divide-Subtract Power-MultiplyIt's the rule for exponents.If the bases are the same and they're...- multiplied; add the exponents. 22(23) = 25- divided; subtract the exponents (36/34) = 32- raised to a power; multiply the exponents (42)4 = 48