In algebraic terms, 10xy represents the product of 10, x, and y. This expression indicates that the variable x is being multiplied by the variable y, and the result is then multiplied by 10. It is a monomial, which is an algebraic expression consisting of a single term.
5x2y is itself a monomial, but it can be simplified to 10xy.
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sqrt(8xy2) * sqrt(20y) = 2y*sqrt(2x)*sqrt(20y) = 4y*sqrt(x)*sqrt(10y) = 4y*sqrt(10xy)
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).
25x2 - 10xy + y2 = (5x - y)2
The numerical part, 10.
5x2y is itself a monomial, but it can be simplified to 10xy.
10xy+x
5
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2(10XY) 5(2XY) 4(5XY) 22(5XY) and so on, though not very interesting factoring
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There are 5 terms in the given expression
(2x - 5y)(4x^2 + 10xy + 25y^2)
(3x - y)(x - 3y) (6y - 11)(6y + 11)
It is an equation, involving mathematical terms, in which there are two elements, x and y, which are allowed to vary. For example 2x + sin(y) = 10xy