Левая часть.
(3/(x+4))+(6x/(x^2+x-12))-(1/(x-3))=
(3(x-3)-(x+4))/((x+4)(x-3))+(6x/(x^2+x-12))=
(2x-13)/((x+4)(x-3))+(6x/((x+4)(x-3)))=
(8x-13)/((x+4)(x-3))=
(8x-13)/((x+4)(x-3)) * ((x-4)/(x-4))=
((8x-13)*(x-4))/((x^2-16)(x-3))
Поделим левую часть на правую.
[ ((8x-13)*(x-4))/((x^2-16)(x-3)) ] / ((8x-13)/(x^2-16))=
[ ((8x-13)*(x-4))/((x^2-16)(x-3)) ] * ((x^2-16)/(8x-13))=
(x-4)/(x-3)
(2х-3)^3=8х^3-3•4х^2•3+3•2х•9-27
=8х^3-36х^2+54х-27
16(sin³x+cos³x)=16•(sinx+cosx)•(sin²x-sinxcosx+cos²x)=
=16•0.5•(1- sinxcosx)=8•(1- sinxcosx)=(sinx+cosx)²=sin²x+2sinxcosx+cos²x=1+2sinxcosx=0.5² = sinxcosx=
=(0.25-1)/2=-0.375<span>=8•(1+0.375)=11.</span>
Решение смотрите в приложении...............