帮忙化简下a² -b²/a²b+ab²÷(1-a ² +b² /2ab)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/05 23:24:33
帮忙化简下a² -b²/a²b+ab²÷(1-a ² +b² /2ab)
x1 dv{F77MzWQ߃ǃ\7>zwf%F~@2X&$r~~&S9SQqE" T&ʮ.(31x7ҹm`h LfoThp6SbC 801R/n ½wdx an'~

帮忙化简下a² -b²/a²b+ab²÷(1-a ² +b² /2ab)
帮忙化简下a² -b²/a²b+ab²÷(1-a ² +b² /2ab)

帮忙化简下a² -b²/a²b+ab²÷(1-a ² +b² /2ab)
原式=[(a+b)(a-b)/ab(a+b)]÷[-(a²-2ab+b²)/2ab]
=[(a-b)/ab]÷[-(a-b)²/2ab]
=-[(a-b)/ab]×[2ab/(a-b)²]
=-2ab(a-b)/[ab(a-b)²]
=-2/(a-b)

(a² -b²)/(a²b+ab²)÷[1-(a ² +b²) /2ab]
=(a-b)(a+b)/ab(a+b)÷[1-(a ² +b²) /2ab]
=(a-b)/ab÷[1-(a ² +b²) /2ab]
=(a-b)/ab÷[2ab-a ²-b²) /2ab]
=(a-b)/ab÷[-(a-b)² /2ab]
=-(a-b)/ab*2ab/(a-b)²
=-2/(a-b)