计算:3/2x+4-6/4-x的平方+9/2x-4
问题描述:
计算:3/2x+4-6/4-x的平方+9/2x-4
答
3/(2x+4)-6/(4-x²)+9/(2x-4)
=3/2(x+2)+6/(x²-4)+9/2(x-2)
=3(x-2)/2(x+2)(x-2)+12/2(x+2)(x-2)+9(x+2)/2(x+2)(x-2)
=[3(x-2)+12+9(x+2)]/2(x+2)(x-2)
=(12x+24)/2(x+2)(x-2)
=12(x+2)/2(x+2)(x-2)
=6/(x-2)