Объяснение:
2/(x-4) - (x+8)/(x²-16) - 1/x=
=2/(x-4) - (x+8)/(x²-4²) - 1/x=
=2/(x-4) - (x+8)/(x-4)(x+4) - 1/x=
=(2x(x+4)-x(x+8)-(x-4)(x+4))/(x(x-4)(x+4))=
=(2x²+8x-x²-8x-x²+4²)/(x(x-4)(x+4))=
=16/(x(x-4)(x+4))
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Объяснение:
2/(x-4) - (x+8)/(x²-16) - 1/x=
=2/(x-4) - (x+8)/(x²-4²) - 1/x=
=2/(x-4) - (x+8)/(x-4)(x+4) - 1/x=
=(2x(x+4)-x(x+8)-(x-4)(x+4))/(x(x-4)(x+4))=
=(2x²+8x-x²-8x-x²+4²)/(x(x-4)(x+4))=
=16/(x(x-4)(x+4))