分式混合运算:[﹙x²-16﹚/﹙x²+8x+16﹚]+[x/﹙x-4﹚]

问题描述:

分式混合运算:[﹙x²-16﹚/﹙x²+8x+16﹚]+[x/﹙x-4﹚]

原式=(x+4)(x-4)/(x+4)²+x/(x-4)
=(x-4)/(x+4)+x/(x-4)
=[(x-4)²+x(x+4)]/(x+4)(x-4)
=(x²-8x+16+x²+4x)/(x+4)(x-4)
=(2x²-4x+16)/(x²-16)

[﹙x²-16﹚/﹙x²+8x+16﹚]+[x/﹙x-4﹚]
=(x-4)/(x+4)+x/(x-4)
=[(x-4)^2+x(x+4)]/(x^2-16)
=[2x^2-4x+16]/(x^2-16)

﹙x²-16﹚/﹙x²+8x+16﹚]+[x/﹙x-4﹚=[(x+4)(x-4)]/(x+4)²+x/(x-4)=(x-4)/(x+4)+x/(x-4)=[(x-4)²+x(x-4)]/(x+4)(x-4)=(2x²-4x+16)/(x²-16)...