Write a brief answer to each question. Provide examples.
a) When is the sum or difference of two monomials a monomial?
b) When is the product of two monomials a monomial?
c) When is the quotient of two monomials a monomials?
Plz help, the questions confuse me. I have no clue to what the answers may be.
plz.
a) The sum or difference of two monomials will result in a monomial when the variables and their exponents are the same in both monomials. For example, if we have the monomials 3x² and 4x², their sum would be 7x², which is a monomial.
b) The product of two monomials will result in a monomial when their variables and exponents are multiplied together. For example, if we have the monomials 2x³ and 5x⁴, their product would be 10x⁷, which is a monomial.
c) The quotient of two monomials will result in a monomial when the variable and exponent in the numerator are the same as the variable and exponent in the denominator. For example, if we have the monomials 6x⁵ and 2x², their quotient would be 3x³, which is a monomial.
To determine when the sum, difference, product, or quotient of two monomials is a monomial, you need to ensure that the variables and their exponents match.