Ответ:
Объяснение:
(2/(x²-4) +1/(2x-x²)) ÷1/(x²+4x+4)=(x+2)/x
1) 2/(x²-4) +1/(2x-x²)=2/((x-2)(x+2)) +1/(x(2-x))=2/((x-2)(x+2)) -1/(x(x-2))=(2x-x-2)/(x(x-2)(x+2))=(x-2)/(x(x-2)(x+2))=1/(x(x+2))
2) 1/(x(x+2)) ÷1/(x²+4x+4)=1/(x(x+2)) ·(x+2)²=(x+2)/x
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Answers & Comments
Ответ:
Объяснение:
(2/(x²-4) +1/(2x-x²)) ÷1/(x²+4x+4)=(x+2)/x
1) 2/(x²-4) +1/(2x-x²)=2/((x-2)(x+2)) +1/(x(2-x))=2/((x-2)(x+2)) -1/(x(x-2))=(2x-x-2)/(x(x-2)(x+2))=(x-2)/(x(x-2)(x+2))=1/(x(x+2))
2) 1/(x(x+2)) ÷1/(x²+4x+4)=1/(x(x+2)) ·(x+2)²=(x+2)/x