823. Сократите дробь: а) (ay − az)/(by − bz); б) (a² − ab)/(ab − b²); в) (2c − 8cx)/(3a − 12ax); г) (x² + xy)/(x² + 2xy + y²); д) (3 + 6c)/(2 + 4c); е) (an + n²)/(an + a²); ж) (ax + 2x)/(ay + 2y); з) (a² − 2ab + b²)/(2a − 2b).

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Accepted Answer

\(\dfrac{ay-az}{by-bz}=\dfrac{a(y-z)}{b(y-z)}=\dfrac{a}{b}\).
\(\dfrac{a^2-ab}{ab-b^2}=\dfrac{a(a-b)}{b(a-b)}=\dfrac{a}{b}\).
\(\dfrac{2c-8cx}{3a-12ax}=\dfrac{2c(1-4x)}{3a(1-4x)}=\dfrac{2c}{3a}\).
\(\dfrac{x^2+xy}{x^2+2xy+y^2}=\dfrac{x(x+y)}{(x+y)^2}=\dfrac{x}{x+y}\).
\(\dfrac{3+6c}{2+4c}=\dfrac{3(1+2c)}{2(1+2c)}=\dfrac{3}{2}\).
\(\dfrac{an+n^2}{an+a^2}=\dfrac{n(a+n)}{a(n+a)}=\dfrac{n}{a}\).
\(\dfrac{ax+2x}{ay+2y}=\dfrac{x(a+2)}{y(a+2)}=\dfrac{x}{y}\).
\(\dfrac{a^2-2ab+b^2}{2a-2b}=\dfrac{(a-b)^2}{2(a-b)}=\dfrac{a-b}{2}\).

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