Сократите дробь:
а)

\frac{(2 a - 2 b)^{2}}{a - b}

;
б)

\frac{(3 c + 9 d)^{2}}{c + 3 d}

;
в)

\frac{(3 x + 6 y)^{2}}{5 x + 10 y}

;
г)

\frac{4 x^{2} - y^{2}}{(10 x + 5 y)^{2}}

Сократите дробь: а) ( 2 a − 2 b ) 2 a − b ; б) ( 3 c + 9 d ) 2 c + 3 d ; в) ( 3 x + 6 y ) 2 5 x + 10 y ; г) 4 x 2 − y 2 ( 10 x + 5 y ) 2 .

\frac{(2 a - 2 b)^{2}}{a - b} = \frac{(2 (a - b))^{2}}{a - b} = \frac{4 (a - b)^{2}}{a - b} = 4 (a - b)

\frac{(3 c + 9 d)^{2}}{c + 3 d} = \frac{(3 (c + 3 d))^{2}}{c + 3 d} = \frac{9 (c + 3 d)^{2}}{c + 3 d} = 9 (c + 3 d)

\frac{(3 x + 6 y)^{2}}{5 x + 10 y} = \frac{(3 (x + 2 y))^{2}}{5 (x + 2 y)} = \frac{9 (x + 2 y)^{2}}{5 (x + 2 y)} = \frac{9 (x + 2 y)}{5}

\frac{4 x^{2} - y^{2}}{(10 x + 5 y)^{2}} = \frac{(2 x - y) (2 x + y)}{(5 (2 x + y))^{2}} = \frac{(2 x - y) (2 x + y)}{25 (2 x + y)^{2}} = \frac{2 x - y}{25 (2 x + y)}