解答初一数学计算和因式分解题目、简单,急,高分
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发布时间:2024-10-24 03:28
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热心网友
时间:1天前
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
解:(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
热心网友
时间:1天前
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
解:(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
我写的怎么辛苦!给我分吧
热心网友
时间:1天前
我才倒霉呢,写到2/3突然没了