Блок Г. Сократите дроби: 1) (2a+18)/(a²+18a+81); 2) (x²−10x+25)/(5x−25); 3) (x²+8x+16)/(4x+16); 4) (a²−10a+25)/(−4a+20); 5) (y²+8y+16)/(2y+8); 6) (x²−4y²)/(x²+4xy+4y²); 7) (9y²+24y+16)/(9y²−16); 8) (x²−4x+4)/(3x−6); 9) (6x²+36x+54)/(−3x−9)²; 10) (15x−9y)/(25x²−30xy+9y²).

Question

Вопрос:

Accepted Answer

\(\frac{2(a+9)}{(a+9)^2}=\frac2{a+9}\)
\(\frac{(x-5)^2}{5(x-5)}=\frac{x-5}{5}\)
\(\frac{(x+4)^2}{4(x+4)}=\frac{x+4}{4}\)
\(\frac{(a-5)^2}{-4(a-5)}=\frac{5-a}{4}\)
\(\frac{(y+4)^2}{2(y+4)}=\frac{y+4}{2}\)
\(\frac{(x-2y)(x+2y)}{(x+2y)^2}=\frac{x-2y}{x+2y}\)
\(\frac{(3y+4)^2}{(3y-4)(3y+4)}=\frac{3y+4}{3y-4}\)
\(\frac{(x-2)^2}{3(x-2)}=\frac{x-2}{3}\)
\(\frac{6(x+3)^2}{9(x+3)^2}=\frac23\)
\(\frac{3(5x-3y)}{(5x-3y)^2}=\frac3{5x-3y}\)

Ответ: