1 -x^3y^3+2x^2y^2-xy2 4x^2-(x^2+1)^23 3x^2-3x+四分之三4 16x^4-y^45 8(a-b)^2-12(b-a)6 25(m-n)^2-9(m+n)^2这个是^次方的意思
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/10 11:05:36
![1 -x^3y^3+2x^2y^2-xy2 4x^2-(x^2+1)^23 3x^2-3x+四分之三4 16x^4-y^45 8(a-b)^2-12(b-a)6 25(m-n)^2-9(m+n)^2这个是^次方的意思](/uploads/image/z/5912980-52-0.jpg?t=1+-x%5E3y%5E3%2B2x%5E2y%5E2-xy2+4x%5E2-%28x%5E2%2B1%29%5E23+3x%5E2-3x%2B%E5%9B%9B%E5%88%86%E4%B9%8B%E4%B8%894+16x%5E4-y%5E45+8%28a-b%29%5E2-12%28b-a%296+25%28m-n%29%5E2-9%28m%2Bn%29%5E2%E8%BF%99%E4%B8%AA%E6%98%AF%5E%E6%AC%A1%E6%96%B9%E7%9A%84%E6%84%8F%E6%80%9D)
1 -x^3y^3+2x^2y^2-xy2 4x^2-(x^2+1)^23 3x^2-3x+四分之三4 16x^4-y^45 8(a-b)^2-12(b-a)6 25(m-n)^2-9(m+n)^2这个是^次方的意思
1 -x^3y^3+2x^2y^2-xy
2 4x^2-(x^2+1)^2
3 3x^2-3x+四分之三
4 16x^4-y^4
5 8(a-b)^2-12(b-a)
6 25(m-n)^2-9(m+n)^2
这个是^次方的意思
1 -x^3y^3+2x^2y^2-xy2 4x^2-(x^2+1)^23 3x^2-3x+四分之三4 16x^4-y^45 8(a-b)^2-12(b-a)6 25(m-n)^2-9(m+n)^2这个是^次方的意思
1.-x^3y^3+2x^2y^2-xy
=-xy(x^2y^2-2xy+1)
=-xy[(xy)^2-2xy+1]
-xy(xy-1)^2
2.4x^2-(x^2+1)^2
=(2x)^2-(x^2+1)^2
=(2x+x^2+1)(2x-x^2-1)
=-(x+1)^2(x^2-2x+1)
=-(x+1)^2(x-1)^2
3.3x^2-3x+3/4
=3(x^2-x+1/4)
=3(x-1/2)^2
4.16x^4-y^4
=(4x^2)^2-(y^2)^2
=(4x^2+y^2)(4x^2-y^2)
=(4x^2+y^2)(2x+y)(2x-y)
5.8(a-b)^2-12(b-a)
=8(a-b)^2+12(a-b)
=4(a-b)[2(a-b)+3]
=4(a-b)(2a-2b+3)
6.25(m-n)^2-9(m+n)^2
=[5(m-n)]^2-[3(m+n)]^2
=[5(m-n)+3(m+n)][5(m-n)-3(m+n)]
=(8m-2n)(2m-8n)
=4(4m-n)(m-4n)
-xy(xy+1-2^2)(xy+1+2^2)
-(x^2-1)^2
3(x-1/2)^2
(4x^2+y^2)(2x+y)(2x-y)
4(b-a)(2b-2a-3)
4(4m-n)(m-4n)
1 -x^3y^3+2x^2y^2-xy=-xy(x^2y^2-2xy+1)=-xy(xy-1)^2
2 4x^2-(x^2+1)^2=(2x^2+x^2+1)(2x^-x^2-1)=(3x^2+1)(x^2-1)=(3x^2+1)(x+1)(x-1)
3 3x^2-3x+3/4=3(x^2-x+1/4)=3(x-1/2)^2
4 16x^4-y^4=(4x^2+y^2)(...
全部展开
1 -x^3y^3+2x^2y^2-xy=-xy(x^2y^2-2xy+1)=-xy(xy-1)^2
2 4x^2-(x^2+1)^2=(2x^2+x^2+1)(2x^-x^2-1)=(3x^2+1)(x^2-1)=(3x^2+1)(x+1)(x-1)
3 3x^2-3x+3/4=3(x^2-x+1/4)=3(x-1/2)^2
4 16x^4-y^4=(4x^2+y^2)(4x^2-y^2)=(4x^2+y^2)(2x+y)(2x-y)
5 8(a-b)^2-12(b-a)=4(a-b)(2a-2b+3)
6 25(m-n)^2-9(m+n)^2=(5(m-n)+3(m+n))(5(m-n)-3(m+n))=(8m-2n)(2m-8n)=4(4m-n)(m-4n)
收起
1 -x^3y^3+2x^2y^2-xy=-xy(x^2y^2-2xy+1)=-xy(xy-1)^2
2 4x^2-(x^2+1)^2=(2x-x^2-1)(2x+x^2+1)=-(x+1)^2(x-1)^2
3 3x^2-3x+四分之三=3(x^2-x+1/4)=3(x-1/2)^2
4 16x^4-y^4=(4x^2+y^2)(2x+y)(2x-y)
5 8(a-b)^2-12(b-a)=4(a-b)(2a-2b+3)
6 25(m-n)^2-9(m+n)^2=(5m-5n+3m+3n)(5m-5n-3m-3n)=(8m-2n)(2m-8n)=4(4m-n)(m-4n)