初一因式分解.........

来源:百度知道 编辑:UC知道 时间:2024/05/11 05:11:19
[(3X-7)^2-(X+5)^2]除以(4x-24)

写下过程~~~~谢谢~~~

[(3X-7)^2-(X+5)^2]/(4x-24)=(3x-7-x-5)(3x-7+x+5)/(4x-24)
=(2x-12)(4x-2)/(4x-24)=2(x-6)*2(2x-1)/4(x-6)
=2x-1

=(9X^2-42X+49-X^2-10X-25)/(4X-24)
=(8X^2-52X+24)/(4X-24)
=(2X^2-13X+6)/(X-6)
=(X-6)(2X-1)/(X-6)
=2X-1 (X不等于6)

[(3X-7)^2-(X+5)^2]/(4x-24)=(3x-7-x-5)(3x-7+x+5)/(4x-24)
=(2x-12)(4x-2)/(4x-24)=2x-1

原式=(3X-7+X+5)(3X-7+X+5)/(4X-24)
=4(X-6)(2X-1)/4(X-6)
=2X-1
∵X-6≠0
∴X≠6
原式=2X-1 (X≠6)