Tìm biểu thức M, biết:

a) \(\frac{{x + 2y}}{{{x^3} - 8{y^3}}}\, \cdot \,M = \frac{{5{x^2} + 10xy}}{{{x^2} + 2xy + 4{y^2}}}\)

b) \(M:\frac{{{x^2} + x + 1}}{{2x + 2}} = \frac{{x + 1}}{{{x^3} - 1}}\)

c) \(\frac{{{x^2} + xy - 2{y^2}}}{{{x^4} - {y^4}}}\, \cdot \,M = \frac{{x + y}}{{{x^3} + {x^2}y + x{y^2} + {y^3}}}\)




A.a) \(M = \frac{{5{x} + 10xy}}{{{x} + 2xy + 4{y^2}}}.\)
b) \(M = \frac{1}{{(x - 1)}}.\)
c) \(M = \frac{{x + y}}{{x - 2y}}.\)
B.a) \(M = \frac{{5{x^2} - 10xy}}{{{x^2} - 2xy + 4{y^2}}}.\)
b) \(M = \frac{-1}{{2(x - 1)}}.\)
c) \(M = \frac{{x -y}}{{x + 2y}}.\)
C.a) \(M = 5x(x-2y).\)
b) \(M = \frac{1}{{2(x +1)}}.\)
c) \(M = \frac{{x - y}}{{x - 2y}}.\)
D.a) \(M = 5x(x-2y).\)
b) \(M = \frac{1}{{2(x - 1)}}.\)
c) \(M = \frac{{x + y}}{{x + 2y}}.\)

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