因式分解100题及答案

因式分解100题及答案因式分解100题
1.分解因式：；ad?bd?d【答案】d?(a?b?1)
432522.分解因式：8xyz?6xy422【答案】2xy(4yz?3x)
323.分解因式：?2m?6m?18m2【答案】?2m(m?3m?9)
923224.分解因式：6xy?3xy?xy2
3xy
2【答案】(4x?2xy?3y)2

22222245.分解因式：xy?xz?yz?z【答案】(y?z)(y?z)(x?z)(x?z)
2322326.分解因式：ab?abcd?abcd?cd22【答案】(ab?cd)(ab?cd)
227.分解因式：a(1?b?b)?1?b?b2【答案】(a?1)(1?b?b)
228.分解因式：(?x)(x?y)?y(y?x)2【答案】(x?y)(x?y)
229.分解因式：a?4a?4?b【答案】(a?b?2)(a?b?2)
23310.分解因式：?6abc?14ab?12ab22【答案】?2ab(3c?7ab?6a)4411.分解因式：
a?b22【答案】(a?b)(a?b)(a?b)
2212.分解因式：49(m?n)?16(m?n)【答案】(11m?3n)(3m?11n)
2213.分解因式：(a?b?c?d)?(a?b?c?d)【答案】
4(a?c)(b?d)14.分解因式：(x?y)(x?y)?4(y?1)【答案】(x?y?2)(x?y?2)3215.分解因式：x?6x?9x2【答案】x(x?3)
2222216.分解因式：
(x?y)?4xy22【答案】(x?y)(x?y)
2222217.分解因式：
4ab?(a?b)22【答案】?(a?b)(a?b)
222218.分解因式：；(m?n)?4(m?n)?4(m?n)2【答案】(3n?m)
2219.分解因式：；(m?5n)?2(5n?m)(n?3m)?(n?3m)2【答案】16(m?n)
4422220.分解因式：(p?q)?4pq22222【答案】(p?q)(p?q)(p?q)2221.分解因式：x?ax?x?ax?1?a2【答案】(1?a)(x?x?1)
22.分解因式：xy?x?y?1【答案】(x?1)(y?1)
23.分解因式：ax?by?bx?ay【答案】(x?y)(a?b)
222224.分解因式：ac?bd?ad?bc【答案】(a?b)(c?d)(c?d)225.分解因式：7x?3y?xy?21x【答案】(x?3)(7x?y)
222326.分解因式：
32ac?15cx?48ax?10c
22【答案】(2c?3x)(16a?5c)
43227.分解因式：x?x?x?13【答案】(x?1)(x?x?1)
2228.分解因式：abx?bxy?axy?y【答案】(bx?y)(ax?y)
29.分解因式：x(x?z)?y(y?z)【答案】(x?y)(x?y?z)
222230.分解因式：(x?1)?x(x?2)(x?x?1)?x2【答案】(x?1)(2x?1)(x?x?1)4231.分解因式：；x?3x?122【答案】(x?1?x)(x?1?x)
4232.分解因式：；x?23x?122【答案】(x?1?5x)(x?1?5x)
422433.分解因式：
a?ab?b2222【答案】(a?ab?b)(a?ab?b)
12634.分解因式：x?3x?16363【答案】(x?1?x)(x?1?x)

8435.分解因式：
x?x?16363【答案】(x?1?x)(x?1?x)336.分解因式：a?4a?32【答案】(a?1)(a?a?3)
3237.分解因式：x?2x?6?5x2【答案】(a?1)(a?a?3)
3238.分解因式：x?3x?42【答案】(x?1)(x?2)
239.分解因式：x?6x?7【答案】(x?7)(x?1)
340.分解因式：x?9x?82【答案】(x?1)(x?x?8)241.分解因式：
x?7x?6【答案】(x?1)(x?6)
242.分解因式：x?7x?6【答案】(x?1)(x?6)
243.分解因式：x?6x?8【答案】
(x?2)(x?4)
244.分解因式：x?7x?8【答案】(x?8)(x?1)
245.分解因式：x?12?x????【答案】?x?3x?4
246.分解因式：3a?7a?6【答案】(3a?2)(a?3)
247.分解因式：3x?8x?3【答案】(3x?1)(x?3)
248.分解因式：5x?12x?9【答案】(x?3)(5x?3)
249.分解因式：12x?11x?15????【答案】4x?33x?5
4250.分解因式：x?7x?3022【答案】(x?3)(x?10)
??2
4
4
????251.分解因式：
x?1?x?1?x?122【答案】(3x?1)(x?3)252.分解因式：x?x?6【答案】(x?2)(x?3)
253.分解因式：x?9x?22【答案】(x?2)(x?11)
254.分解因式：x?12x?20【答案】(x?2)(x?10)
255.分解因式：6x?7x?2【答案】(2x?1)(3x?2)
256.分解因式：12x?11x?15【答案】(4x?3)(3x?5)
257.分解因式：
?x?x?562【解析】?x?x?56?(x?7)(8?x)【答案】(x?7)(8?x)
258.分解因式：6x?13x?6【答案】(3x?2)(2x?3)

259.分解因式：2x?7x?3【答案】(x?3)(2x?1)
2260.分解因式：?20xy?64y?x
【答案】(x?16y)(x?4y)61.分解因式：1?a?b?c?ab?ac?bc?abc【答案】(a?1)(b?1)(c?1)
62.分解因式：a(6a?11b?4)?b(3b?1)?2【答案】(2a?3b?2)(3a?b?1)
2263.分解因式：2a?b?ab?bc?2ac【答案】(2a?b)(a?b?c)
22222264.分解因式：ab?ab?ac?ac?3abc?bc?bc【答案】(a?b?c)(ab?ac?bc)
2265.分解因式：y(y?1)(x?1)?x(2y?2y?1)【答案】(yx?y?1)(yx?x?y)
22222266.分解因式：ab(x?y)?(a?b)(xy?1)?(a?b)(x?y)【答案】
(bx?b?ay?a)(by?b?ax?a)
3222267.分解因式：2x?xz?4xy?2xyz?2xy?yz2
????【答案】
2x?zy?x2268.分解因式：3x?4xy?4y?8x?8y?3【答案】(3x?2y?1)(x?2y?3)
2269.分解因式：6x?5xy?6y?2x?23y?20【答案】(2x?3y?4)(3x?2y?5)
2270.分解因式：2x?7xy?6y?2x?y?12【答案】(x?2y?3)(2x?3y?4)
2271.分解因式：12x?10xy?2y?11x?5y?2【答案】(3x?y?2)(4x?2y?1)
2272.分解因式：x?y?2x?4y?3【答案】(x?y?3)(x?y?1)
2273.分解因式：x?y?5x?3y?4【答案】(x?y?1)(x?y?4)
22274.分解因式：x?2(a?b)x?3a?10ab?3b【答案】(x?a?3b)(x?3a?b)

22275.分解因式：6x?5xy?6y?2xz?23yz?20z【答案】(2x?3y?4z)(3x?2y?5z)
2276.分解因式：6x?xy?2y?2x?8y?8【答案】(2x?y?2)(3x?2y?4)
2277.分解因式：x?3xy?2y?2x?4y【答案】(x?2y)(x?y?2)
22278.分解因式：x?6xy?9y?5xz?15yz?6z【答案】
(x?3y?2z)(x?3y?3z)222279.分解因式：(x?4x?8)?3x(x?4x?8)?2x2【答案】(x?2)(x?4)(x?5x?8)
2280.分解因式：(x?5x?2)(x?5x?3)?122【答案】(x?2)(x?3)(x?5x?1)
81.分解因式：(x?1)(x?3)(x?5)(x?7)?152【答案】(x?2)(x?6)(x?8x?10)
82.分解因式：(a?1)(a?2)(a?3)(a?4)?242【答案】a(a?5)(a?5a?10)
2283.分解因式：(x?x?1)(x?x?2)?122【答案】(x?1)(x?2)(x?x?5)
????????284.分解因式：6x?12x?13x?1x?1?x???2
2【答案】
6x?6x?1
????????485.分解因式：6x?14x?13x?1x?1?9x???2
2【答案】
9x?7x?1
286.分解因式
(2a?5)(a?9)(2a?7)?912【答案】(a?4)(2a?7)(2a?a?8)
2287.分解因式：(x?6x?8)(x?14x?48)?1222【答案】(x?10x?18)(x?10x?22)
2222288.分解因式：(x?xy?y)?4xy(x?y)222【答案】(x?y?xy)
2289.分解因式(x?3x?2)(3?8x?4x)?902【答案】(2x?5x?12)(2x?7)(x?1)
222290.分解因式：4(3x?x?1)(x?2x?3)?(4x?x?4)22【答案】?(2x?3x?2)3291.分解因式：2x?x?5x?2【答案】(x?2)(2x?1)(x?1)
6543292.分解因式：x?2x?3x?4x?3x?2x?1222【答案】(x?1)(x?1)
43293.分解因式：
6x?5x?3x?3x?22【答案】(2x?1)(3x?2)(x?x?1)
322394.分解因式：x?9xy?26xy?24y【答案】(x?2y)(x?3y)(x?4y)
3295.分解因式：x?(a?b?c)x?(ab?bc?ca)x?abc【答案】
(x?a)(x?b)(x?c).596.用待定系数法分解因式：x?x?15232【答案】x?x?1?(x?x?1)(x?x?1)5497.用待定系数法分解：
x?x?15423【答案】x?x?1?(x?x?1)(x?x?1)
33398.分解因式：
a(b?c)?b(c?a)?c(a?b)333【答案】a(b?c)?b(c?a)?c(a?b)??(a?b?c)(a?b)(b?c)(c?a)
22299.分解因式：x(y?z)?y(z?x)?z(x?y)【答案】?(x?y)(y?z)(z?x)
222222100.分解因式：xy(x?y)?yz(y?z)?zx(z?x)【答案】?(x?y?z)(x?y)(y?z)(z?x)