The expression (4xy - 3xy + 2xy) consists of three terms: (4xy), (-3xy), and (2xy). Each term is a product of the coefficient (a number) and the variable part, which in this case is (xy). The coefficients are 4, -3, and 2, respectively. To combine the like terms, you would simplify the expression to ( (4 - 3 + 2)xy = 3xy).
The expression (2x + 2y) does not equal (2xy) or (4xy). Instead, it represents the sum of two terms, (2x) and (2y). If you factor it, you could write it as (2(x + y)), but it does not simplify to a product of (xy).
4xy - 2y(x + 4) = 4xy - 2xy - 8y = 2xy - 8y = 2y(x - 4)
2xy
4xy - 2xy
(2x2+4xy-3)-(x2-2xy-4)Answer: x2+6x+1
The expression (2x + 2y) does not equal (2xy) or (4xy). Instead, it represents the sum of two terms, (2x) and (2y). If you factor it, you could write it as (2(x + y)), but it does not simplify to a product of (xy).
The greatest common factor of 4xy and -6xy is 2xy. To find the greatest common factor, we first factor out the numbers 4 and -6 to get 2(2xy) and -2(3xy). The greatest common factor is the highest common factor that divides both terms evenly, which in this case is 2xy.
2xy
4xy - 2y(x + 4) = 4xy - 2xy - 8y = 2xy - 8y = 2y(x - 4)
2xy
the difference between 2x2 +4xy-3 and x2-2xy-4 is?
4xy - 2xy
2xy
2xy
(2x2+4xy-3)-(x2-2xy-4)Answer: x2+6x+1
2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
(x^2 + 2y)(x^3 - 2xy + y^3) = x^2(x^3 - 2xy + y^3) + 2y(x^3 - 2xy + y^3) Now, let's distribute each term: = x^2 * x^3 - x^2 * 2xy + x^2 * y^3 + 2y * x^3 - 2y * 2xy + 2y * y^3 Now, simplify each term: = x^5 - 2x^3y + x^2y^3 + 2x^3y - 4xy^2 + 2y^4 Now, combine like terms: = x^5 + x^2y^3 - 4xy^2 + 2y^4 So, the expanded form of (x^2 + 2y)(x^3 - 2xy + y^3) is x^5 + x^2y^3 - 4xy^2 + 2y^4.