Сократите дроби: 1) 5-20a^2/20a+10 2) 3x^2+8x-3/x^2+3x 3) y^3+7y^2-60y/10y-50

1) [latex] \frac{5-20a^2}{20a+10} = \frac{(-1)*(-5)+(-5)*4a^2}{10*2a+10*1} = \frac{(-5)*[(-1)+4a^2]}{10(2a+1)} = -\frac{5*[(2a)^2-(1)^2]}{5*2*(2a+1)} =[/latex] [latex]=-\frac{[2a-1]*[2a+1]}{2*(2a+1)} = -\frac{2a-1}{2} = \frac{1-2a}{2}= \frac{1}{2}- \frac{2a}{2}= \frac{1}{2}-a [/latex] 2) [latex] \frac{3x^2+8x-3}{x^2+3x} = \frac{3x^2+9x-x-3}{x(x+3)}= \frac{3x(x+3)-(x+3)}{x(x+3)}= \frac{(3x-1)(x+3)}{x(x+3)}= \frac{3x-1}{x} [/latex] 3) [latex] \frac{y^3+7y^2-60y}{10y-50} = \frac{y(y^2+7y-60)}{10(y-5)} = \frac{y(y^2-5y+12y-12*5)}{10(y-5)}= [/latex] [latex]=\frac{y[(y-5)(y+12)]}{10(y-5)} = \frac{y(y-5)(y+12)}{10(y-5)} = \frac{y(y+12)}{10} [/latex]