ä¸X^8-Y^8
äºä¸è§£æ¹ç¨ç»2x+Y=6,x-3y=1,æ±:7y(x-3y)^2-2(3y-x)çå¼
ä¸(x^2+4)^2+8x(x^2+4)+16x^2
å-4x^2y+2x^2+6x^3y^2z
äº16m(m-n)^2+56(n-m)^3
å
(2a+3b)(a-2b)-(3a+2b)(2b-a)
ä¸4m^2+8m+4
(x^2+4)^2+8x(X^2+4)+16x^2
x^2+4y^2-4xy-1
================================
X^2代表æ¯Xç2次æ¹
X^3å°±æ¯3次æ¹
Yä¹ä¸æ ·
================================
çæ¡ï¼
X^8-Y^8
=(x^4+y^4))(x^4-y^4)
ï¼(x^4+y^4)(x^2+y^2)(x^2-y^2)
ï¼(x^4+y^4)(x^2+y^2)(x+y)(x-y)
2x+Y=6,x-3y=1,
7y(x-3y)^2-2(3y-x)
=7y(x-3y)^2+2(x-3y)
=7y*1^2+2x-6y
=2x+y
=6
(x^2+4)^2+8x(x^2+4)+16x^2
=(x^2+4+4x)^2
=(x+2)^4
-4x^2y+2x^2+6x^3y^2z
=2x^2(1-2y+3xy^2z)
16m(m-n)^2+56(n-m)^3
=16m(m-n)^2-56(m-n)^3
=8(m-n)^2(2m-7m+7n)
=8(m-n)^2(7n-5m)
(2a+3b)(a-2b)-(3a+2b)(2b-a)
=2a^2-ab-6b^2+3a^2-4ab-4b^2
=5a^2-5ab-10b^2
=5(a^2-ab-2b^2)
=5(a-2b)(a+b)
4m^2+8m+4
=4(m^2+2m+1)
=4(m+1)^2
(x^2+4)^2+8x(x^2+4)+16x^2
=(x^2+4+4x)^2
=(x+2)^4
x^2+4y^2-4xy-1
=(x-2y)^2-1
=(x-2y+1(x-2y-1)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
å å¼å解3a3b2cï¼6a2b2c2ï¼9ab2c3ï¼
3.å å¼å解xyï¼6ï¼2xï¼3yï¼
4.å å¼å解x2(xï¼y)ï¼y2(yï¼x)ï¼
5.å å¼å解2x2ï¼(aï¼2b)xï¼abï¼
6.å å¼å解a4ï¼9a2b2ï¼
7.è¥å·²ç¥x3ï¼3x2ï¼4å«æxï¼1çå å¼ï¼è¯å解x3ï¼3x2ï¼4ï¼
8.å å¼å解ab(x2ï¼y2)ï¼xy(a2ï¼b2)ï¼
9.å å¼å解(xï¼y)(aï¼bï¼c)ï¼(xï¼y)(bï¼cï¼a)ï¼
10.å å¼å解a2ï¼aï¼b2ï¼bï¼
11.å å¼å解(3aï¼b)2ï¼4(3aï¼b)(aï¼3b)ï¼4(aï¼3b)2ï¼
12.å å¼å解(aï¼3)2ï¼6(aï¼3)ï¼
13.å å¼å解(xï¼1)2(xï¼2)ï¼(xï¼1)(xï¼2)2ï¼
abcï¼abï¼4aï¼ ã
(2)16x2ï¼81ï¼ ã
(3)9x2ï¼30xï¼25ï¼ ã
(4)x2ï¼7xï¼30ï¼
35.å å¼å解x2ï¼25ï¼ ã
36.å å¼å解x2ï¼20xï¼100ï¼ ã
37.å å¼å解x2ï¼4xï¼3ï¼ ã
38.å å¼å解4x2ï¼12xï¼5ï¼ ã
39.å å¼å解ä¸ååå¼ï¼
(1)3ax2ï¼6axï¼ ã
(2)x(xï¼2)ï¼xï¼ ã
(3)x2ï¼4xï¼axï¼4aï¼ ã
(4)25x2ï¼49ï¼ ã
(5)36x2ï¼60xï¼25ï¼ ã
(6)4x2ï¼12xï¼9ï¼ ã
(7)x2ï¼9xï¼18ï¼ ã
(8)2x2ï¼5xï¼3ï¼ ã
(9)12x2ï¼50xï¼8ï¼ ã
40.å å¼å解(xï¼2)(xï¼3)ï¼(xï¼2)(xï¼4)ï¼ ã
41.å å¼å解2ax2ï¼3xï¼2axï¼3ï¼ ã
42.å å¼å解9x2ï¼66xï¼121ï¼ ã
43.å å¼å解8ï¼2x2ï¼ ã
44.å å¼å解x2ï¼xï¼14 ï¼ ã
45.å å¼å解9x2ï¼30xï¼25ï¼ ã
46.å å¼å解ï¼20x2ï¼9xï¼20ï¼ ã
47.å å¼å解12x2ï¼29xï¼15ï¼ ã
48.å å¼å解36x2ï¼39xï¼9ï¼ ã
49.å å¼å解21x2ï¼31xï¼22ï¼ ã
50.å å¼å解9x4ï¼35x2ï¼4ï¼ ã
51.å å¼å解(2xï¼1)(xï¼1)ï¼(2xï¼1)(xï¼3)ï¼ ã
52.å å¼å解2ax2ï¼3xï¼2axï¼3ï¼ ã
53.å å¼å解x(yï¼2)ï¼xï¼yï¼1ï¼ ã
54.å å¼å解(x2ï¼3x)ï¼(xï¼3)2ï¼ ã
55.å å¼å解9x2ï¼66xï¼121ï¼ ã
56.å å¼å解8ï¼2x2ï¼ ã
57.å å¼å解x4ï¼1ï¼ ã
58.å å¼å解x2ï¼4xï¼xyï¼2yï¼4ï¼ ã
59.å å¼å解4x2ï¼12xï¼5ï¼ ã
60.å å¼å解21x2ï¼31xï¼22ï¼ ã
61.å å¼å解4x2ï¼4xyï¼y2ï¼4xï¼2yï¼3ï¼ ã
62.å å¼å解9x5ï¼35x3ï¼4xï¼ ã
63.å å¼å解ä¸ååå¼ï¼
(1)3x2ï¼6xï¼ ã
(2)49x2ï¼25ï¼ ã
(3)6x2ï¼13xï¼5ï¼ ã
(4)x2ï¼2ï¼3xï¼ ã
(5)12x2ï¼23xï¼24ï¼ ã
(6)(xï¼6)(xï¼6)ï¼(xï¼6)ï¼ ã
(7)3(xï¼2)(xï¼5)ï¼(xï¼2)(xï¼3)ï¼ ã
(8)9x2ï¼42xï¼49ï¼
~==============================
X2代表xç2次æ¹
+================================
çæ¡ï¼
å å¼å解3a3b2cï¼6a2b2c2ï¼9ab2c3ï¼3ab^2 c(a^2-2ac+3c^2)
3.å å¼å解xyï¼6ï¼2xï¼3yï¼(x-3)(y-2)
4.å å¼å解x2(xï¼y)ï¼y2(yï¼x)ï¼(x+y)(x-y)^2
5.å å¼å解2x2ï¼(aï¼2b)xï¼abï¼(2x-a)(x+b)
6.å å¼å解a4ï¼9a2b2ï¼a^2(a+3b)(a-3b)
7.è¥å·²ç¥x3ï¼3x2ï¼4å«æxï¼1çå å¼ï¼è¯å解x3ï¼3x2ï¼4ï¼(x-1)(x+2)^2
8.å å¼å解ab(x2ï¼y2)ï¼xy(a2ï¼b2)ï¼(ay+bx)(ax-by)
9.å å¼å解(xï¼y)(aï¼bï¼c)ï¼(xï¼y)(bï¼cï¼a)ï¼2y(a-b-c)
10.å å¼å解a2ï¼aï¼b2ï¼bï¼(a+b)(a-b-1)
11.å å¼å解(3aï¼b)2ï¼4(3aï¼b)(aï¼3b)ï¼4(aï¼3b)2ï¼[3a-b-2(a+3b)]^2=(a-7b)^2
12.å å¼å解(aï¼3)2ï¼6(aï¼3)ï¼(a+3)(a-3)
13.å å¼å解(xï¼1)2(xï¼2)ï¼(xï¼1)(xï¼2)2ï¼-(x+1)(x+2)
abcï¼abï¼4aï¼a(bc+b-4)
(2)16x2ï¼81ï¼(4x+9)(4x-9)
(3)9x2ï¼30xï¼25ï¼(3x-5)^2
(4)x2ï¼7xï¼30ï¼(x-10)(x+3)
35.å å¼å解x2ï¼25ï¼(x+5)(x-5)
36.å å¼å解x2ï¼20xï¼100ï¼(x-10)^2
37.å å¼å解x2ï¼4xï¼3ï¼(x+1)(x+3)
38.å å¼å解4x2ï¼12xï¼5ï¼(2x-1)(2x-5)
39.å å¼å解ä¸ååå¼ï¼
(1)3ax2ï¼6axï¼3ax(x-2)
(2)x(xï¼2)ï¼xï¼x(x+1)
(3)x2ï¼4xï¼axï¼4aï¼(x-4)(x-a)
(4)25x2ï¼49ï¼(5x-9)(5x+9)
(5)36x2ï¼60xï¼25ï¼(6x-5)^2
(6)4x2ï¼12xï¼9ï¼(2x+3)^2
(7)x2ï¼9xï¼18ï¼(x-3)(x-6)
(8)2x2ï¼5xï¼3ï¼(x-3)(2x+1)
(9)12x2ï¼50xï¼8ï¼2(6x-1)(x-4)
40.å å¼å解(xï¼2)(xï¼3)ï¼(xï¼2)(xï¼4)ï¼(x+2)(2x-1)
41.å å¼å解2ax2ï¼3xï¼2axï¼3ï¼ (x+1)(2ax-3)
42.å å¼å解9x2ï¼66xï¼121ï¼(3x-11)^2
43.å å¼å解8ï¼2x2ï¼2(2+x)(2-x)
44.å å¼å解x2ï¼xï¼14 ï¼æ´æ°å
æ æ³å解
45.å å¼å解9x2ï¼30xï¼25ï¼(3x-5)^2
46.å å¼å解ï¼20x2ï¼9xï¼20ï¼(-4x+5)(5x+4)
47.å å¼å解12x2ï¼29xï¼15ï¼(4x-3)(3x-5)
48.å å¼å解36x2ï¼39xï¼9ï¼3(3x+1)(4x+3)
49.å å¼å解21x2ï¼31xï¼22ï¼(21x+11)(x-2)
50.å å¼å解9x4ï¼35x2ï¼4ï¼(9x^2+1)(x+2)(x-2)
51.å å¼å解(2xï¼1)(xï¼1)ï¼(2xï¼1)(xï¼3)ï¼2(x-1)(2x+1)
52.å å¼å解2ax2ï¼3xï¼2axï¼3ï¼(x+1)(2ax-3)
53.å å¼å解x(yï¼2)ï¼xï¼yï¼1ï¼(x-1)(y+1)
54.å å¼å解(x2ï¼3x)ï¼(xï¼3)2ï¼(x-3)(2x-3)
55.å å¼å解9x2ï¼66xï¼121ï¼(3x-11)^2
56.å å¼å解8ï¼2x2ï¼2(2-x)(2+x)
57.å å¼å解x4ï¼1ï¼(x-1)(x+1)(x^2+1)
58.å å¼å解x2ï¼4xï¼xyï¼2yï¼4ï¼(x+2)(x-y+2)
59.å å¼å解4x2ï¼12xï¼5ï¼(2x-1)(2x-5)
60.å å¼å解21x2ï¼31xï¼22ï¼(21x+11)(x-2)
61.å å¼å解4x2ï¼4xyï¼y2ï¼4xï¼2yï¼3ï¼(2x+y-3)(2x+y+1)
62.å å¼å解9x5ï¼35x3ï¼4xï¼x(9x^2+1)(x+2)(x-2)
63.å å¼å解ä¸ååå¼ï¼
(1)3x2ï¼6xï¼3x(x-2)
(2)49x2ï¼25ï¼(7x+5)(7x-5)
(3)6x2ï¼13xï¼5ï¼(2x-1)(3x-5)
(4)x2ï¼2ï¼3xï¼(x-1)(x-2)
(5)12x2ï¼23xï¼24ï¼(3x-8)(4x+3)
(6)(xï¼6)(xï¼6)ï¼(xï¼6)ï¼(x-6)(x+5)
(7)3(xï¼2)(xï¼5)ï¼(xï¼2)(xï¼3)ï¼2(x-6)(x+2)
(8)9x2ï¼42xï¼49ï¼(3x+7)^2 ã
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