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Simplify combining like terms: (v) 5 x^2 y

Q. 1.     Simplify combining like terms: 

             (v)   5x^{2}y-5x^{2}+3yx^{2}-3y^{2}+x^{2}-y^{2}+8xy^{2}-3y^{2}

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5x2y - 5x2 + 3yx2 - 3y2 + x2 - y2 + 8xy2 - 3y2

= (5 + 3 )x2y + (-5 + 1)x2 + (-3 - 1 - 3)y2 + 8xy2

= 8x2y - 4x2 - 7y2 + 8xy2

The simplified expression is 8x2y - 4x2 - 7y2 + 8xy2

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