分解因式:2m^3 - 8m(x+2)(x+4)+ x^2 -44(x-y)^2 - 2(y-x)^3x^2 (y^2
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/08/24 07:46:04
分解因式:
2m^3 - 8m
(x+2)(x+4)+ x^2 -4
4(x-y)^2 - 2(y-x)^3
x^2 (y^2 - 1)+2x(y^2 - 1)+(y^2 - 1)
a(x-y)-b(y-x)+c(x-y)
3 x^3 y - 6xy + 3y
x^3 + 6x^2 - 27
b^2 - 2b
a^3-ab^2
x^3-6x^2+9x
(2a-b)^2 + 8ab
(x+2)(x+3)+ x^2 + 4
xy-x-y+1
a^2 - b^2 + 4b
a^2 - 2ab + b^2 -1
计算:
[1-1/(2^2)][1-1/(3^2)]...[1-1/(9^2)][1-1/(10^2)]
2010^2 - 2009^2 + 2008^2 - 2007^2 +...+ 2^2 - 1^2
27^2-46*27+ 23^2
若a^2 + b^2 + 2a-4b+5=0,求实数a,b的值.
若非零实数a,b满足 4a^2 + b^2 =4ab,则b/a=
2m^3 - 8m
(x+2)(x+4)+ x^2 -4
4(x-y)^2 - 2(y-x)^3
x^2 (y^2 - 1)+2x(y^2 - 1)+(y^2 - 1)
a(x-y)-b(y-x)+c(x-y)
3 x^3 y - 6xy + 3y
x^3 + 6x^2 - 27
b^2 - 2b
a^3-ab^2
x^3-6x^2+9x
(2a-b)^2 + 8ab
(x+2)(x+3)+ x^2 + 4
xy-x-y+1
a^2 - b^2 + 4b
a^2 - 2ab + b^2 -1
计算:
[1-1/(2^2)][1-1/(3^2)]...[1-1/(9^2)][1-1/(10^2)]
2010^2 - 2009^2 + 2008^2 - 2007^2 +...+ 2^2 - 1^2
27^2-46*27+ 23^2
若a^2 + b^2 + 2a-4b+5=0,求实数a,b的值.
若非零实数a,b满足 4a^2 + b^2 =4ab,则b/a=
1.2m^3 - 8m =2m(m^2-4)=2m(m-2)(m+2)
2.(x+2)(x+4)+ x^2 -4
=(x+2)(x+4)+(x-2)(x+2)
=(x+2)(2x+2)=2(x+2)(x+1)
3.4(x-y)^2 - 2(y-x)^3 =
4(x-y)^2 +2(x-y)^3=
(x-y)^2(4+2x-2y)
4.x^2 (y^2 - 1)+2x(y^2 - 1)+(y^2 - 1)=
(y^2 - 1)(x^2+2x+1)=(y^2 - 1)(x+1)^2
a(x-y)-b(y-x)+c(x-y)
=a(x-y)+b(x-y)+c(x-y)
=(x-y)(a+b+c
3 x^3 y - 6xy + 3y
=3y(x^3 - 2x + 1)
=3y(x^3 - x^2+ x^2 -2x + 1)
=3y(x-1)(x^2+x-1)
x^3 + 6x^2 - 27
=X立+3X方+(3X方-27)
=X方(X+3)+3(X+3)(X-3)
2a-b)^2+8ab
(2a-b)^2+8ab=4a^2-4ab+b^2+8ab
=4a^2+4ab+b^2
=(2a+b)^2
(x+2)(x+3)+ x^2 +4=X方+5X+6+X方+4
=2X方+5X+4
=(X+2)(2X+2)
xy-x-y+1
=x(y-1)-(y-1)
=(x-1)(y-1)
=(X+3)(X方+3X-9)
a^2 - 2ab + b^2 -1=(A-B)方-1
=(A-B+1)(A-B-1)
计算:(1-1/2^2)=(1-1/2)(1+1/2)=1/2*3/2
(1-1/3^2)=(1-1/3)(1+1/3)=2/3*4/3
...
(1-1/9^2)=8/9*10/9
(1-1/10^2)=9/10*11/10
(1-1/2^2)(1-1/3^2)(1-1/4^2)...(1-1/9^2)(1-1/10^2)
=1/2*3/2*2/3*4/3*...*8/9*10/9*9/10*11/10
=1/2*11/10
=11/20
2010^2 - 2009^2 + 2008^2 - 2007^2 +...+ 2^2 - 1^2=2011(2010-2009+2008_2007+...+2-1)=2011*1005=2021055
27^2-46*27+ 23^2
=27^2-2*23*27+ 23^2
=(27-23)^2=25
a^2 + b^2 + 2a-4b+5
=(a^2+ 2a+1)+( b^2-4b+4)
=(a+1)^2+(b-2)^2=0
a+1=0 b-2=0
a=-1 b=2
4a^2 + b^2 =4ab
4a^2 + b^2 -4ab=0 两边通除以非负数a^2
(b/a)^2-4b/a+4=0 b/a=2
2.(x+2)(x+4)+ x^2 -4
=(x+2)(x+4)+(x-2)(x+2)
=(x+2)(2x+2)=2(x+2)(x+1)
3.4(x-y)^2 - 2(y-x)^3 =
4(x-y)^2 +2(x-y)^3=
(x-y)^2(4+2x-2y)
4.x^2 (y^2 - 1)+2x(y^2 - 1)+(y^2 - 1)=
(y^2 - 1)(x^2+2x+1)=(y^2 - 1)(x+1)^2
a(x-y)-b(y-x)+c(x-y)
=a(x-y)+b(x-y)+c(x-y)
=(x-y)(a+b+c
3 x^3 y - 6xy + 3y
=3y(x^3 - 2x + 1)
=3y(x^3 - x^2+ x^2 -2x + 1)
=3y(x-1)(x^2+x-1)
x^3 + 6x^2 - 27
=X立+3X方+(3X方-27)
=X方(X+3)+3(X+3)(X-3)
2a-b)^2+8ab
(2a-b)^2+8ab=4a^2-4ab+b^2+8ab
=4a^2+4ab+b^2
=(2a+b)^2
(x+2)(x+3)+ x^2 +4=X方+5X+6+X方+4
=2X方+5X+4
=(X+2)(2X+2)
xy-x-y+1
=x(y-1)-(y-1)
=(x-1)(y-1)
=(X+3)(X方+3X-9)
a^2 - 2ab + b^2 -1=(A-B)方-1
=(A-B+1)(A-B-1)
计算:(1-1/2^2)=(1-1/2)(1+1/2)=1/2*3/2
(1-1/3^2)=(1-1/3)(1+1/3)=2/3*4/3
...
(1-1/9^2)=8/9*10/9
(1-1/10^2)=9/10*11/10
(1-1/2^2)(1-1/3^2)(1-1/4^2)...(1-1/9^2)(1-1/10^2)
=1/2*3/2*2/3*4/3*...*8/9*10/9*9/10*11/10
=1/2*11/10
=11/20
2010^2 - 2009^2 + 2008^2 - 2007^2 +...+ 2^2 - 1^2=2011(2010-2009+2008_2007+...+2-1)=2011*1005=2021055
27^2-46*27+ 23^2
=27^2-2*23*27+ 23^2
=(27-23)^2=25
a^2 + b^2 + 2a-4b+5
=(a^2+ 2a+1)+( b^2-4b+4)
=(a+1)^2+(b-2)^2=0
a+1=0 b-2=0
a=-1 b=2
4a^2 + b^2 =4ab
4a^2 + b^2 -4ab=0 两边通除以非负数a^2
(b/a)^2-4b/a+4=0 b/a=2
分解因式:2m^3 - 8m(x+2)(x+4)+ x^2 -44(x-y)^2 - 2(y-x)^3x^2 (y^2
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