constants
They are "like terms".
Yes, (3ab) and (-6ab) are like terms because they contain the same variable parts, (ab), and can be combined through addition or subtraction. Like terms have identical variable components raised to the same powers, allowing for operations between them. In this case, they can be added or subtracted to simplify expressions.
No, 7r and 2 are not like terms. Like terms have the same variable raised to the same power, which means they must have identical variable components. In this case, 7r contains the variable "r," while 2 is a constant without any variable.
Combining like terms can simplify an expression by consolidating terms that have identical variable components raised to the same power. For example, in the expression (3x^2 + 5x^2), the like terms can be combined to yield (8x^2). This process makes the expression clearer and easier to work with, enhancing overall efficiency in mathematical operations.
Algebraic terms with the same literal factors are those that contain identical variable components, although their coefficients may differ. For example, the terms (3x^2) and (5x^2) both have the literal factor (x^2), making them like terms. These terms can be combined through addition or subtraction because they share the same variable part. In contrast, terms like (3x^2) and (4x^3) are not like terms due to differing literal factors.
Like terms
like terms - are terms that have identical variable parts and constant terms
They are "like terms".
Yes, (3ab) and (-6ab) are like terms because they contain the same variable parts, (ab), and can be combined through addition or subtraction. Like terms have identical variable components raised to the same powers, allowing for operations between them. In this case, they can be added or subtracted to simplify expressions.
No, 7r and 2 are not like terms. Like terms have the same variable raised to the same power, which means they must have identical variable components. In this case, 7r contains the variable "r," while 2 is a constant without any variable.
Yes, "5g" is considered a like term in mathematics, specifically in algebra, because it contains the same variable "g" raised to the same power. Like terms are terms that have identical variable parts, allowing them to be combined through addition or subtraction. In this case, any other term with the form "kg" (where k is a constant) would also be a like term.
"An expression of three terms" means that the expression has three parts, combined by plus or minus signs. Within each of these parts (terms), there can be a single number or variable, or a product or division involving several other pieces.
identical identities
Segmented animals, such as earthworms and centipedes, have identical or almost identical repeating body parts called segments. In plants, leaves and flower petals can also be considered identical or almost identical repeating body parts.
Like Terms
Like terms.
Combining like terms can simplify an expression by consolidating terms that have identical variable components raised to the same power. For example, in the expression (3x^2 + 5x^2), the like terms can be combined to yield (8x^2). This process makes the expression clearer and easier to work with, enhancing overall efficiency in mathematical operations.