Thực hiện phép tính: A = - 2xy^5(- x^2 y^4)(6x^2 y)
a) \(A = - 2x{y^5}\left( { - {x^2}{y^4}} \right)\left( {6{x^2}y} \right)\)
\[ = 2{x^3}{y^9} \cdot 6{x^2}y\]
\[ = 12{x^5}{y^{10}}\].
b) \[B = \left( {15{x^5}{y^3} - 10{x^3}{y^5} + 25{x^4}{y^4}} \right):5{x^2}{y^2}\]
\[ = 15{x^5}{y^3}:\left( {5{x^2}{y^2}} \right) - 10{x^3}{y^5}:\left( {5{x^2}{y^2}} \right) + 25{x^4}{y^4}:\left( {5{x^2}{y^2}} \right)\]
\[ = 3{x^3}y - 2x{y^3} + 5{x^2}{y^2}\].
c) \(C = 3{x^2}y\left( {2{x^2} - y} \right) - 4{x^2}\left( {{x^2}y - {y^2}} \right)\).
\[{\rm{ = }}\left( {{\rm{6}}{x^4}y - 3{x^2}{y^2}} \right) - \left( {4{x^4}y - 4{x^2}{y^2}} \right)\]
\[{\rm{ = 6}}{x^4}y - 3{x^2}{y^2} - 4{x^4}y + 4{x^2}{y^2}\]
\[{\rm{ = }}\left( {{\rm{6}}{x^4}y - 4{x^4}y} \right) + \left( {4{x^2}{y^2} - 3{x^2}{y^2}} \right)\]
\[{\rm{ = 2}}{x^4}y + {x^2}{y^2}\].