Simplify and combine Like terms : (4x^(2)y^(2)+3x^(2)y-2xy^(2)+4xy)-(-3x^(2)y^(2)+3x^(2)y+2xy^(2)-2xy)

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Distribute Negative Sign: We are given two polynomials, and we need to subtract the second polynomial from the first. To do this, we will distribute the negative sign across the second polynomial and then combine like terms. Calculation: (4x^(2)y^(2)+3x^(2)y-2xy^(2)+4xy) - (-3x^(2)y^(2)+3x^(2)y+2xy^(2)-2xy) Distribute the negative sign: (4x^(2)y^(2)+3x^(2)y-2xy^(2)+4xy) + (3x^(2)y^(2)-3x^(2)y-2xy^(2)+2xy)Combine Like Terms: Now we combine like terms by adding the coefficients of the terms with the same powers of x and y. Calculation: (4x^(2)y^(2) + 3x^(2)y^(2)) + (3x^(2)y - 3x^(2)y) + (-2xy^(2) - 2xy^(2)) + (4xy + 2xy)Perform Addition: Perform the addition for each group of like terms. Calculation: 4x^(2)y^(2) + 3x^(2)y^(2) = 7x^(2)y^(2) Calculation: 3x^(2)y - 3x^(2)y = 0 (these terms cancel each other out) Calculation: -2xy^(2) - 2xy^(2) = -4xy^(2) Calculation: 4xy + 2xy = 6xyCombine Results: Combine the results from the previous step to get the final answer. Calculation: 7x^(2)y^(2) + 0 - 4xy^(2) + 6xy Since the term with 0 coefficient disappears, we are left with: Final Answer: 7x^(2)y^(2) - 4xy^(2) + 6xy

Simplify and combine Like terms : $\left(4 x^{2} y^{2}+3 x^{2} y-2 x y^{2}+4 x y\right)-\left(-3 x^{2} y^{2}+3 x^{2} y+2 x y^{2}-2 x y\right)$

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Simplify and combine Like terms : (4x2y2+3x2y−2xy2+4xy)−(−3x2y2+3x2y+2xy2−2xy) \left(4 x^{2} y^{2}+3 x^{2} y-2 x y^{2}+4 x y\right)-\left(-3 x^{2} y^{2}+3 x^{2} y+2 x y^{2}-2 x y\right) (4x2y2+3x2y−2xy2+4xy)−(−3x2y2+3x2y+2xy2−2xy)

Simplify and combine Like terms : $\left(4 x^{2} y^{2}+3 x^{2} y-2 x y^{2}+4 x y\right)-\left(-3 x^{2} y^{2}+3 x^{2} y+2 x y^{2}-2 x y\right)$