經(jīng)典的因式分解練習(xí)題有答案-資料下載頁
2025-06-23 17:44本頁面
【正文】 9x^2－30x＋25＝(3x5)^2－20x^2＋9x＋20＝(4x+5)(5x+4) 12x^2－29x＋15＝(4x3)(3x5)36x^2＋39x＋9＝3(3x+1)(4x+3) 21x^2－31x－22＝(21x+11)(x2)9x^4－35x^2－4＝(9x^2+1)(x+2)(x2) (2x＋1)(x＋1)＋(2x＋1)(x－3)＝2(x1)(2x+1)2ax^2－3x＋2ax－3＝(x+1)(2ax3) x(y＋2)－x－y－1＝(x1)(y+1)(x^2－3x)＋(x－3) ^2＝(x3)(2x3) 9x^2－66x＋121＝(3x11)^28－2x^2＝2(2x)(2+x) x^4－1＝(x1)(x+1)(x^2+1)x^2＋4x－xy－2y＋4＝(x+2)(xy+2) 4x^2－12x＋5＝(2x1)(2x5)21x^2－31x－22＝(21x+11)(x2) 4x^2＋4xy＋y^2－4x－2y－3＝(2x+y3)(2x+y+1)9x^5－35x^3－4x＝x(9x^2+1)(x+2)(x2) 3x^2－6x＝3x(x2)49x^2－25＝(7x+5)(7x5) 6x^2－13x＋5＝(2x1)(3x5)x^2＋2－3x＝(x1)(x2) 12x^2－23x－24＝(3x8)(4x+3)(x＋6)(x－6)－(x－6)＝(x6)(x+5) 3(x＋2)(x－5)－(x＋2)(x－3)＝2(x6)(x+2)9x2＋42x＋49＝(3x+7)^2 . 3a3b2c－6a2b2c2＋9ab2c3＝3ab^2 c(a^22ac+3c^2)xy＋6－2x－3y＝(x3)(y2) x2(x－y)＋y2(y－x)＝(x+y)(xy)^22x2－(a－2b)x－ab＝(2xa)(x+b) x^3+2x^216x32=(x+2)(x+4)(x4) (ab)a^6+（ba)b^6=(ab)^2(a^2+ab+b^2)(a+b)(a^2ab+b^2) (x+y)(x+y+2xy)+(xy+1)(xy1) =(x+1)(y+1)(x+y+xy1)X^8+X^7+1 =（X^2+X+1）（X^6X^4+X^3X+1） x^8+x^6+x^4+x^2+1 =(x^4+x^3x+1)(x^4+x^3+x^2+x+1)x^2－20x＋100＝(x10)^2 x^23x+2=(x1)(x2)x^22x15=(x+3)(x5) x^2+2x15=(x3)(x+5)x^27x+12=(x3)(x4) x^27x30=(x+3)(x10)x^2+2x3=(x1)(x+3) x^216x+64=(x8)^2x^29x+20=(x4)(x5) x^26x+8=(x2)(x4)x^26x7=(x7)(x+1
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