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Combine like terms of -5xy2 plus 12xy2?
-5xy2 + 12xy2 = (-5 + 12)xy2 = 7xy2
What are the steps and rules for adding and subtracting monomials?
A monomial is a polynomial that has just one term. So to add or subtract monomials, is the same as we add or subtract like terms (terms that have exactly the same variable part). Since we are dealing with monomials, the restriction is that the exponent(s) of the variable(s) must be positive integer(s). Examples of monomials: 10xy, -5xy2, -3x2, 3w3z6, -7xy, -4x2, 2xy2, 9w3z6. So, how to add or subtract them? First detect where the like terms (monomials) are, then group them (write them next to each other), then combine (ad or subtract their coefficients, and write next to the result the common variable part). 10xy -7xy = 3xy (subtract since the coefficients have different sign). -5xy2 +2xy2 = -3xy2 (subtract since the coefficients have different sign). -3x2 -4x2 = -7x2 (add because the coefficients have the same sign). 3w3z6 + 9w3z6 = 12w3z6 (add because the coefficients have the same sign).
What are facts about coefficient in math terms?
Yes!The word "coefficient" usually refers to the number part of a term.Some examples:The coefficient in 7x is 7.The coefficient in -2y4z3 is -2.The coefficient in b2c3d4 is 1 (because you can think of there being a '1' in front)In the polynomial x3 + 4x2y - 5xy2 + 6y3, the coefficient of xy2 is -5.Technically, you could say that in the term 27fg4, 27 is the numerical coefficient, and fg4 is the literal coefficient.
What is the monomial of 5xy2?
A monomial is an algebraic expression consisting of a single term. In the case of 5xy^2, it is a monomial because it has only one term. The term consists of the coefficient 5, the variable x raised to the power of 1, and the variable y raised to the power of 2. Therefore, 5xy^2 is a monomial.
