Вправа 201 - 300 » 283

283. Виконай ділення. а) (〖2a〗^3+ 16)/(a^2+ 3a+9) : (a^2- 2a+4)/(〖2a〗^3- 54) = (〖2(a〗^3+ 8) •2(a^3- 27))/(〖(a〗^2+ 3a+9)(a^2- 2a+4)) = 4(a + 2)(a – 3); б) (〖64a〗^3- b^3)/(〖16a〗^2- 8ab+ b^2 ) : (〖16a〗^2+ 4ab+ b^2)/(b^2- 16) = ((4a-b)(〖16a〗^2+ 4ab+ b^2 )(b^2- 16))/(〖(4a-b)〗^2 〖(16a〗^2+ 4ab+ b^2)) = (b^2- 16)/(4a-b); в) (3y-9)/(x^2- xy+x-y) : (xy-3x+2y-6)/(x^2- y^2 ) = (3(y-3))/(x(x-y)+ (x-y)) • ((x-y)(x+y))/(x(y-3)+ 2(y-3)) = = (3(y-3)(x-y)(x+y))/((x-y)(x+1)(y-3)(x+2)) = (3(x+y))/((x-1)(x+2)).