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What is a term whose variables and exponents are the same?
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.
What are terms that include the same variables and their corresponding exponents?
like terms
Algebraic terms that contain the same variables and exponents?
are known as like terms.
How do you add like terms with squared variables for example 2x plus 4x2?
Terms like 2x and 4x2 are not like terms. In order for terms to be like terms, they must have the exact same variables with the exact same exponents on them. This means that 5x3 and 7x3 are like terms, but 2x and 4x2 are not. To add or subtract like terms, simply add or subtract the coefficients (the numbers in front) and keep the variable part the same. For example, 5x3 + 7x3 = (5 + 7)x3 = 12x3, and 3x2 + 6x2 = (3 + 6)x2 = 9x2. But, since 2x and 4x2 are not like terms, 2x + 4x2 = 2x + 4x2. It just cannot be simplified any more than that.
Can monomials have negative exponents?
Yes, monomials can have negative exponents. When a monomial has a negative exponent, it means that the variable or variables in the monomial are in the denominator of the fraction. For example, x^(-2) is equivalent to 1/x^2. Negative exponents indicate that the variable should be moved to the opposite side of the fraction line and the exponent becomes positive.
