Question

Answer 1

Lời giải:
a.

\(=\frac{m(m^3-1)}{2(m^2+m+1)}=\frac{m(m-1)(m^2+m+1)}{2(m^2+m+1)}=\frac{m(m-1)}{2}\)

b.

\(=\frac{a(b^2+a^2-ab)}{b(a^3+b^3)}=\frac{a(a^2-ab+b^2)}{b(a+b)(a^2-ab+b^2)}=\frac{a}{b(a+b)}\)

c.

\(=\frac{(xy-x)-(y-1)}{(y-yz)-(1-z)}=\frac{x(y-1)-(y-1)}{y(1-z)-(1-z)}=\frac{(y-1)(x-1)}{(y-1)(1-z)}=\frac{x-1}{1-z}\)

d.

\(=\frac{a(x+y)-b(x+y)}{a(x-y)-b(x-y)}=\frac{(x+y)(a-b)}{(x-y)(a-b)}=\frac{x+y}{x-y}\)