作业帮(3+2x)/(2-x)+(3x-2)/(x+2)+(x²-16x)/(4-x²)
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(3+2x)/(2-x)+(3x-2)/(x+2)+(x²-16x)/(4-x²)
(3+2x)/(2-x)+(3x-2)/(x+2)+(x²-16x)/(4-x²)
(3+2x)/(2-x)+(3x-2)/(x+2)+(x²-16x)/(4-x²)
(3+2x)/(2-x)+(3x-2)/(x+2)+(x²-16x)/(4-x²)
=[(3+2x)(2+x)+(3x-2)(2-x)]/(4-x²)+(x²-16x)/(4-x²)
=[6+4x+3x+2x²+6x-3x²-4+2x]/(4-x²)+(x²-16x)/(4-x²)
=(2+15x-x²)/(4-x²)+(x²-16x)/(4-x²)
=(2+15x-x²+x²-16x)/(4-x²)
=(2-x)/[(2+x)(2-x)]
=1/(x+2)
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