The expression (4xy) represents a monomial where 4 is the coefficient and (xy) is the product of the variables (x) and (y). It indicates that the value of the expression is obtained by multiplying 4 by the values of (x) and (y). This expression is often used in algebra to represent relationships in equations or to describe quantities in various mathematical contexts.
Without an equality sign the given expression is not an equation
The expression (4xy - 3xy + 2xy) consists of three terms: (4xy), (-3xy), and (2xy). Each term is a product of the coefficient (a number) and the variable part, which in this case is (xy). The coefficients are 4, -3, and 2, respectively. To combine the like terms, you would simplify the expression to ( (4 - 3 + 2)xy = 3xy).
The expression (2x + 2y) does not equal (2xy) or (4xy). Instead, it represents the sum of two terms, (2x) and (2y). If you factor it, you could write it as (2(x + y)), but it does not simplify to a product of (xy).
To find the degree of the expression (2x - 4xy + 14xy + 3), we first simplify it to (2x + 10xy + 3). The degree of a term is determined by the sum of the exponents of the variables in that term. The term with the highest degree here is (10xy), which has a degree of 2 (1 from (x) and 1 from (y)). Therefore, the degree of the entire expression is 2.
The expressions (4xy - 9xy) and (12xy) are called terms because they each represent a single mathematical entity within an algebraic expression. Terms can consist of constants, variables, or the product of constants and variables. In this case, (4xy), (-9xy), and (12xy) are all terms that involve the variable (xy) multiplied by coefficients. When combined, they can be simplified and manipulated in algebraic operations.
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4xy).
The difference of cubes has a formula. (4x - y)(16x2 + 4xy + y2)
Without an equality sign the given expression is not an equation
The expression (4xy - 3xy + 2xy) consists of three terms: (4xy), (-3xy), and (2xy). Each term is a product of the coefficient (a number) and the variable part, which in this case is (xy). The coefficients are 4, -3, and 2, respectively. To combine the like terms, you would simplify the expression to ( (4 - 3 + 2)xy = 3xy).
The expression (2x + 2y) does not equal (2xy) or (4xy). Instead, it represents the sum of two terms, (2x) and (2y). If you factor it, you could write it as (2(x + y)), but it does not simplify to a product of (xy).
3x2y - 4xy + 4x
4xy
It stays the same because it does not have any common terms. A: 6y-4xy
4xy/0.25x = 16y
The GCF is 2x.
4xy - 2y(x + 4) = 4xy - 2xy - 8y = 2xy - 8y = 2y(x - 4)
To multiply 2x by 2y, you would use the distributive property of multiplication over addition. This means you would multiply each term in the first expression by each term in the second expression. In this case, 2x * 2y would result in 4xy, as 2 * 2 equals 4 and x * y equals xy.