(4x^2y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y)

Answer:x y^2 (11 x y - 4)Step-by-step explanation:Simplify the following: 4 x^2 y^3 + 2 x y^2 - 2 y - (-7 x^2 y^3 + 6 x y^2 - 2 y) Factor y out of -7 x^2 y^3 + 6 x y^2 - 2 y: 4 x^2 y^3 + 2 x y^2 - 2 y - y (-7 x^2 y^2 + 6 x y - 2) -y (-2 + 6 x y - 7 x^2 y^2) = 2 y - 6 x y^2 + 7 x^2 y^3: 4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3 Grouping like terms, 4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3 = (4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y): (4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y) x^2 y^3 4 + x^2 y^3 7 = 11 x^2 y^3: 11 x^2 y^3 + (2 x y^2 - 6 x y^2) + (2 y - 2 y) x y^2 2 + x y^2 (-6) = -4 x y^2: 11 x^2 y^3 + -4 x y^2 + (2 y - 2 y) 2 y - 2 y = 0: 11 x^2 y^3 - 4 x y^2 Factor x y^2 out of 11 x^2 y^3 - 4 x y^2: Answer:  x y^2 (11 x y - 4)