作业帮因式分解16(x-y)²-9(x y)²=
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9(x-y)²-25=[3(x-y)]²-5²=[3(x-y)+5][3(x-y)-5]=(3x-3y+5)(3x-3y-5)很高兴为您解答,【学习宝典】团队为您答题.请
16(x-y)²-9(x+y)²=(4x-4y+3x+3y)•(4x-4y-3x-3y)=(7x-y)•(x-7y)
解题思路：本题主要利用完全平方公式进行因式分解即可求出结果解题过程：解:x²－6xy＋9y²=(x-3y)2
9(x+y)^2-6(x+y)+1=【3(x+y)-1】²
利用平方差公式：a²-b²=(a+b)(a-b)4(x+y)²-9(x-y)²=[2(x+y)]²-[3(x-y)]²=[2(x+y)+3(
4x^2-9y^2=(2x+3y)(2x-3y)
=[4(x-y)+3(x+y)][4(x-y)-3(x+y)]=(4x-4y+3x+3y)(4x-4y-3x-3y)=(7x-y)(x-7y)
给我留着好评再答：我现在帮你做再答：再答：好评呢再问：稍等再答：嗯嗯，我第一个给你的再问：因式分解x²-xy+xz-yzab-ac+bc-b²(a+b)²-4(a+b-1
16(x+y)²-25(x-y)²=[4(x+y)-5(x-y)][4(x+y)+5(x-y)]=(4x+4y-5x+5y)(4x+4y+5x-5y)=(9y-x)(9x-y)
16(x+y)^2-25(x-y)^2=[4﹙x＋y﹚＋5﹙x－y﹚][4﹙x＋y﹚－5﹙x－y﹚]=﹙9x－y﹚﹙9y－x﹚
=(x-y)^2-2*4(x-y)+4^2=(x-y-4)^2
原式=(2x+3y)(2x-3y)再问：.再答：这是平方差
(x+y)(x+y-6)+9=(x+y)^2-6(x+y)+9=((x+y)-3)^2=(x+y-3)^2x²-16y²-x-4y=(x+4y)(x-4y)-(x+4y)=(x+4
=(3x^2+4y^2)^2-9x^2y^2=(3x^2-3xy+4y^2)(3x^2+3xy+4y^2)
25(x+y)^2-16(x-y)^2=[5(x+y)+4(x-y)][5(x+y)-4(x-y)]=(9x+y)(x+9y)
16(x-y)²-9(x+y)²=(4x-4y)²-(3x+3y)²=(4x-4y+3x+3y)(4x-4y-3x-3y)=(7x-y)(x-7y)
4x^2-16y^2=4(x²-4y²)=4(x+2y)(x-2y）
(x+y)的平方+2*4(x+y)+4的平方(x+y)=(x+y+4)的平方
16(x-y)^2-9(x+y)^2=(4x-4y)²-(3x+3y)²=(4x-4y+3x+3y)(4x-4y-3x-3y)=(7x-y)(x-7y)