4(3X+Y)的平方-(2X-Y)的平方 因式分解..要过程

来源：百度知道 编辑：UC知道 时间：2024/05/21 14:25:02

4(3X+Y)^2-(2X-Y)^2
=[2(3X+Y)-(2X-Y)][2(3X+Y)+(2X-Y)]
=[(6X+2Y)-(2X-Y)][(6X+2Y)+(2X-Y)]
=(6X+2Y-2X+Y)(6X+2Y+2X-Y)
=(4X+3Y)(8X+Y)

=[4(3X+Y)+(2X-Y)]×[4(3X+Y)－(2X-Y)]
＝（12x＋4y+2x-y)×（12x＋4y－2x＋y）
＝（14x＋3y）×（10x＋5y）
＝5（14x＋3y）×（2x＋y）

4(3X+Y)^2-(2X-Y)^2
=[2(3X+Y)]^2--(2X-Y)^2
=(6X+2Y+2X-Y)(6X+2Y-2X+Y)
=(8X+Y)(4X+3Y)

对于平方差公式中的字母也学会把他看成一个数或者一个代数式

=(6x+2y)2-(2x-y)2

=(6x+2y+(2x-y))*(6x+2y-(2x-y))

=(8x+y)*(4x+3y)

=32x2+28xy+3y2

4(3X+Y)^2-(2X-Y)^2
=[2(3X+Y)-(2X-Y)][2(3X+Y)+(2X-Y)]
=[(6X+2Y)-(2X-Y)][(6X+2Y)+(2X-Y)]
=(4X+Y)(8X+Y)

4(9x2+y2+6xy)-(4x2+y2-4xy)
36x2+4y2+24xy-4x2-y2+4xy
32x2+2y2+28xy
2(16x2+y2+14xy)