3-x/2x-4除以(1/x+2)-(5/x-2)怎么解
问题描述:
3-x/2x-4除以(1/x+2)-(5/x-2)怎么解
答
原式=[(3-x)/2(x-2)]÷{[(x-2)-5(x+2)]/(x+2)(x-2)}
=[(3-x)/2(x-2)]÷[(-4x-12)/(x+2)(x-2)]
=[(x-3)/2(x-2)]÷[4(x+3)/(x+2)(x-2)]
=(x-3)(x+2)(x-2)/[2(x-2)×4(x+3)]
=(x-3)(x+2)/[8(x+3)]
=(x²-x-6)/(8x+24)