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.
The equation ( x^2 - 10xy + 3y + y^2 - 1 ) has five terms: ( x^2 ), ( -10xy ), ( 3y ), ( y^2 ), and ( -1 ). Each distinct algebraic expression separated by a plus or minus sign counts as a term. Thus, the total number of terms is five.
To find the degree of the expression (2x - 4xy + 14xy + 3), we first simplify it to (2x + 10xy + 3). The degree of a term is determined by the sum of the exponents of the variables in that term. The term with the highest degree here is (10xy), which has a degree of 2 (1 from (x) and 1 from (y)). Therefore, the degree of the entire expression is 2.
15
sqrt(8xy2) * sqrt(20y) = 2y*sqrt(2x)*sqrt(20y) = 4y*sqrt(x)*sqrt(10y) = 4y*sqrt(10xy)
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