Ответ:
\frac{3}{2-x}
Объяснение:
3/(2-x)
[(x³-8)/(x-2) +2x] * 1/(4-x²) - (x-1)/(2-x)=
=[(x-2)(x²+2x+4)/(x-2) +2x] * 1/(4-x²) - (x-1)/(2-x)=
=(x²+2x+4+2x) * 1/(4-x²) - (x-1)/(2-x)=
=((x²+4x+4-(2x+x²-2-x))/(4-x²) =
=((x²+4x+4-(x+x²-2))/(4-x²)=
=(x²+4x+4-x-x²+2)/(4-x²)=
=(3x+6)/(4-x²)=
=2(x+2)/(2-x)(2+x)= 3/(2-x)
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Answers & Comments
Ответ:
\frac{3}{2-x}
Объяснение:
Ответ:
3/(2-x)
Объяснение:
[(x³-8)/(x-2) +2x] * 1/(4-x²) - (x-1)/(2-x)=
=[(x-2)(x²+2x+4)/(x-2) +2x] * 1/(4-x²) - (x-1)/(2-x)=
=(x²+2x+4+2x) * 1/(4-x²) - (x-1)/(2-x)=
=((x²+4x+4-(2x+x²-2-x))/(4-x²) =
=((x²+4x+4-(x+x²-2))/(4-x²)=
=(x²+4x+4-x-x²+2)/(4-x²)=
=(3x+6)/(4-x²)=
=2(x+2)/(2-x)(2+x)= 3/(2-x)