Thu gọn đa thức sau: Q = 5x^2y - 3xy + 1/2x^2y - xy + 5xy - 1/3x + 1/2 + 2/3x - 1/4
Giải thích
\(Q = 5{x^2}y - 3xy + \frac{1}{2}{x^2}y - xy + 5xy - \frac{1}{3}x + \frac{1}{2} + \frac{2}{3}x - \frac{1}{4}\)
\( = \left( {5{x^2}y + \frac{1}{2}{x^2}y} \right) + \left( { - 3xy - xy + 5xy} \right) + \left( { - \frac{1}{3}x + \frac{2}{3}x} \right) + \left( {\frac{1}{2} - \frac{1}{4}} \right)\)
\( = \left( {5 + \frac{1}{2}} \right){x^2}y + \left( { - 3 - 1 + 5} \right)xy + \left( { - \frac{1}{3} + \frac{2}{3}} \right)x + \frac{1}{4}\)
\( = \frac{{11}}{2}{x^2}y + xy + \frac{1}{3}x + \frac{1}{4}\)