Question

упростите вырожениеа) 3mn-6n : m^2n-4n 2m^3 4m^4б) x^2 - 9 : x-3 x^2+4x+4 x+2в) a^3 . (a + 2)^3 a^3 +8 ( a )^3

Answer 1

$\frac{3mn-6n}{ 2m^3} : \frac{m^2n-4n}{ 4m^4} = \frac{4m^4(3mn-6n)}{ 2m^3(m^2n-4n)}= \frac{6m}{ m+2} \\\ \frac{x^2 - 9}{ x^2+4x+4 } : \frac{x-3}{ x+2} = \frac{(x^2 - 9)(x+2)}{ (x^2+4x+4)(x-3) }= \frac{x+3}{ x+2 } \\\ \frac{a^3}{a^3 +8 }\cdot \frac{(a + 2)^3}{ a ^3} = \frac{a^3(a + 2)^3}{a^3(a^3 +8) }= \frac{(a + 2)^2}{a^2-2a+4 }$