1.a^2-1+b^2-2ab=(a-b+1)( )2.x^2-4y^2+2x-4y=(x+2y+2)( )3.a^2(a-3)+(3-a)=( )( )( )4.(2a-b)^2+8ab=5.6xy^2-9x^2y-y^3= 6.4(x+y+z)^2-9(x-y-z)^2= 7.32a（x^2+x）^2-2a=8.(2+1)(2^2+1)(2^4+1)(2^8+1)=9.t^4-2t^2+1=10.a^3+a^2+1/4a=11.(a+b)^2-4(a=b)+4= 12.(a-b)^3

1.a^2-1+b^2-2ab=(a-b+1)( )2.x^2-4y^2+2x-4y=(x+2y+2)( )3.a^2(a-3)+(3-a)=( )( )( )4.(2a-b)^2+8ab=5.6xy^2-9x^2y-y^3= 6.4(x+y+z)^2-9(x-y-z)^2= 7.32a（x^2+x）^2-2a=8.(2+1)(2^2+1)(2^4+1)(2^8+1)=9.t^4-2t^2+1=10.a^3+a^2+1/4a=11.(a+b)^2-4(a=b)+4= 12.(a-b)^3
1.a^2-1+b^2-2ab=(a-b+1)( )
2.x^2-4y^2+2x-4y=(x+2y+2)( )
3.a^2(a-3)+(3-a)=( )( )( )
4.(2a-b)^2+8ab=
5.6xy^2-9x^2y-y^3=
6.4(x+y+z)^2-9(x-y-z)^2=
7.32a（x^2+x）^2-2a=
8.(2+1)(2^2+1)(2^4+1)(2^8+1)=
9.t^4-2t^2+1=
10.a^3+a^2+1/4a=
11.(a+b)^2-4(a=b)+4=
12.(a-b)^3+2(b-a)^4+(a-b)^5=
13.3a^3n-12a^2n b+12a^n b^2(n为自然数)=
14.（a-c）^2-4(b-c)(a-b)=

1.a^2-1+b^2-2ab=(a-b+1)( )2.x^2-4y^2+2x-4y=(x+2y+2)( )3.a^2(a-3)+(3-a)=( )( )( )4.(2a-b)^2+8ab=5.6xy^2-9x^2y-y^3= 6.4(x+y+z)^2-9(x-y-z)^2= 7.32a（x^2+x）^2-2a=8.(2+1)(2^2+1)(2^4+1)(2^8+1)=9.t^4-2t^2+1=10.a^3+a^2+1/4a=11.(a+b)^2-4(a=b)+4= 12.(a-b)^3
1.a^2-1+b^2-2ab=(a^2-2ab+b^2)-1=(a-b)²-1=(a-b+1)(a-b-1)
2.x^2-4y^2+2x-4y=(x+2y)(x-2y)+2(x-2y)=(x-2y)(x+2y+2)
3.a^2(a-3)+(3-a)=(a-3)(a^2-1)=(a-3)(a+1)(a-1)
4.(2a-b)^2+8ab=4a²-4ab+b²+8ab=4a²+4ab+b²=(2a+b)²
5.6xy^2-9x^2y-y^3= -y(9x²-6xy+y²)=-y(3x-y)²
6.4(x+y+z)^2-9(x-y-z)^2=[2(x+y+z)+3(x-y-z)][2(x+y+z)-3(x-y-z)]
=(5x-y-z)(5y+5z-x)
7.32a（x^2+x）^2-2a=2a[16(x²+x)²-1]=2a[4(x²+x)+1][4(x²+x)-1]
=2a(2x+1)²[(2x+1)²-2]=2a(2x+1)²(2x+1+√2)(2x+1-√2)
8.(2+1)(2^2+1)(2^4+1)(2^8+1)=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)
=(2²-1)(2^2+1)(2^4+1)(2^8+1)
=(2^4-1)(2^4+1)(2^8+1)/(2-1)=(2^8-1)(2^8+1)
=2^16-1=65535
9.t^4-2t^2+1=(t²-1)²=(t+1)²(t-1)²
10.a^3+a^2+1/4a=a/4(4a²+4a+1)=a/4(2a+1)²
11.(a+b)^2-4(a+b)+4=[(a+b)-2]²=(a+b-2)²
12.(a-b)^3+2(b-a)^4+(a-b)^5=(a-b)³[1+2(a-b)+(a-b)²]
=(a-b)³[1+(a-b)]²=(a-b)³(1+a-b)²
13.3a^3n-12a^2n b+12a^n b^2(n为自然数)=3a^n(a^2n-4a^nb+4b²)
=3a^n(a^n-2b)²
14.（a-c)^2-4(b-c)(a-b)=[(a-b)+(b-c)]²-4(b-c)(a-b)
=(a-b)²+2(a-b)(b-c)+(b-c)²-4(b-c)(a-b)
=(a-b)²-2(a-b)(b-c)+(b-c)²
=[(a-b)-(b-c)]²=(a-2b+c)².

1.(a^2-2ab-b^2)-1=(a-b)^2-1^2=(a-b+1)(a-b-1)
2.(x^2+2x+1)-1-(4y^2+4y+1)+1=(x+1)^2-(2y+1)^2=(x+2y+2)(x-2y)
3.a^2(a-3)-(a-3)=(a-3)(a^2-1)=(a-3)(a+1)(1-1)
4.(4a^2-4ab+b^2)+8ab=4a^2+4ab+b^2=(2a+b)^2
5.y(6xy-9x^2-y^2)=-y(3x-y)^2
先做五题，好累人的说

1)
a^2-1+b^2-2ab=(a-b)²-1=(a-b+1)(a-b-1)
2)
x^2-4y^2+2x-4y=(x+2y)(x-2y)+2(x-2y)=(x+2y+2)(x-2y)
3)
a^2(a-3)+(3-a)=a^2(a-3)-(a-3)=(a-3)(a^2-1)=(a-3)(a-1)(a+1)
4)
(2a-b)^...

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1)
a^2-1+b^2-2ab=(a-b)²-1=(a-b+1)(a-b-1)
2)
x^2-4y^2+2x-4y=(x+2y)(x-2y)+2(x-2y)=(x+2y+2)(x-2y)
3)
a^2(a-3)+(3-a)=a^2(a-3)-(a-3)=(a-3)(a^2-1)=(a-3)(a-1)(a+1)
4)
(2a-b)^2+8ab=4a^2+b^2+4ab=(2a+b)^2
5)
6xy^2-9x^2y-y^3=-y(9x^2-6xy+y^2)=y(y-3x)^2
6)
4(x+y+z)^2-9(x-y-z)^2
=(2x+2y+2z+3x-3y-3z)(2x+2y+2z-3x+3y+3z)
=-(5x-y-z)(x-5y-5z)
7)
32a（x^2+x）^2-2a
=2a(16(x^2+x)^2-1)
=2a(4x^2+4x-1)(4x^2+4x+1)
=2a(2x+1)^2(4x^2+4x-1)
8)
(2+1)(2^2+1)(2^4+1)(2^8+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)/(2-1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)
=2^16-1
=65536
9)
t^4-2t^2+1=(t^2-1)^2=(t-1)^2(t+1)^2
10)
a^3+a^2+1/4a=a(a^2+a-1/4)=a(a-1/2)^2
11)
(a+b)^2-4(a+b)+4=(a+b-2)^2
12)
(a-b)^3+2(b-a)^4+(a-b)^5
=(a-b)^3-2(a-b)^4+(a-b)^5
=(a-b)^3(1-2(a-b)+(a-b)^2)
=(a-b)^3(a-b-1)^2
13)
3a^3n-12a^2n b+12a^n b^2(n为自然数)
=3a^n(a^2n-4a^n b+4b^2)
=3a^n(a^n-2b)^2
14)
(a-c）^2-4(b-c)(a-b)
令(a-c)=x,(a-b)=y,则(b-c)=x-y
原式
=x^2-4y(x-y)
=x^2-4xy+4y^2
=(x-2y)^2
=((a-c)-2(a-b))^2
=(2b-a-c)^2
呼，辛苦啊...

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