2. Представьте выражение в виде дроби: a) 28p⁴ q⁵ q⁶ 56p⁴; б) 72x³y :(30x²y) в) x²-1 5x+10; г) y+c .( c + c x²-9 x-1 c y+c y + c

2. Представьте выражение в виде дроби:

a) $$\\\\frac{28p^4}{q^6} \\\\cdot \\\\frac{q^5}{56p^4} = \\\\frac{28p^4q^5}{56p^4q^6} = \\\\frac{1}{2q}$$

б) $$\\\\frac{72x^3y}{z} : (30x^2y) = \\\\frac{72x^3y}{z} \\\\cdot \\\\frac{1}{30x^2y} = \\\\frac{72x^3y}{30x^2yz} = \\\\frac{12x}{5z}$$

в) $$\\\\frac{x^2-1}{x^2-9} \\\\cdot \\\\frac{5x+10}{x-1} = \\\\frac{(x-1)(x+1)}{(x-3)(x+3)} \\\\cdot \\\\frac{5(x+2)}{x-1} = \\\\frac{(x+1)5(x+2)}{(x-3)(x+3)} = \\\\frac{5(x+1)(x+2)}{(x-3)(x+3)}$$

г) $$\\\\(y+c) \\\\cdot (\\\\frac{c}{c} + \\\\frac{c}{y+c}) = (y+c)(\\\\frac{c(y+c) + c^2}{c(y+c)}) = \\\\frac{(y+c)(cy+c^2+c^2)}{c(y+c)} = \\\\frac{cy+2c^2}{c} = y + 2c$$

Ответ: а) $$\frac{1}{2q}$$, б) $$\frac{12x}{5z}$$, в) $$\frac{5(x+1)(x+2)}{(x-3)(x+3)}$$, г) $$y+2c$$