用乘法公式分解因式1.1/2a^2-2ab+2b^22.2x^3y+8x^2y^2+8xy^33.-9x^2-3xy-1/4y^24.(x^2-x)^2+6(x^2-x)+95.(x^2-2x)^2+2x(x-2)+16.9a^2-30ab^2+25b^47.-4x^2+12xy-9y^28.9(2a-b)^2-6(2a-b)+19.-2m^3+24m^2-72m10.-x^4+2x^2y^2-y^411.(x+y)^2+4(x-y)^2-4(x^2-y^2)
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![用乘法公式分解因式1.1/2a^2-2ab+2b^22.2x^3y+8x^2y^2+8xy^33.-9x^2-3xy-1/4y^24.(x^2-x)^2+6(x^2-x)+95.(x^2-2x)^2+2x(x-2)+16.9a^2-30ab^2+25b^47.-4x^2+12xy-9y^28.9(2a-b)^2-6(2a-b)+19.-2m^3+24m^2-72m10.-x^4+2x^2y^2-y^411.(x+y)^2+4(x-y)^2-4(x^2-y^2)](/uploads/image/z/1661235-51-5.jpg?t=%E7%94%A8%E4%B9%98%E6%B3%95%E5%85%AC%E5%BC%8F%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F1.1%2F2a%5E2-2ab%2B2b%5E22.2x%5E3y%2B8x%5E2y%5E2%2B8xy%5E33.-9x%5E2-3xy-1%2F4y%5E24.%28x%5E2-x%29%5E2%2B6%28x%5E2-x%29%2B95.%28x%5E2-2x%29%5E2%2B2x%28x-2%29%2B16.9a%5E2-30ab%5E2%2B25b%5E47.-4x%5E2%2B12xy-9y%5E28.9%282a-b%29%5E2-6%282a-b%29%2B19.-2m%5E3%2B24m%5E2-72m10.-x%5E4%2B2x%5E2y%5E2-y%5E411.%28x%2By%29%5E2%2B4%28x-y%29%5E2-4%28x%5E2-y%5E2%29)
用乘法公式分解因式1.1/2a^2-2ab+2b^22.2x^3y+8x^2y^2+8xy^33.-9x^2-3xy-1/4y^24.(x^2-x)^2+6(x^2-x)+95.(x^2-2x)^2+2x(x-2)+16.9a^2-30ab^2+25b^47.-4x^2+12xy-9y^28.9(2a-b)^2-6(2a-b)+19.-2m^3+24m^2-72m10.-x^4+2x^2y^2-y^411.(x+y)^2+4(x-y)^2-4(x^2-y^2)
用乘法公式分解因式
1.1/2a^2-2ab+2b^2
2.2x^3y+8x^2y^2+8xy^3
3.-9x^2-3xy-1/4y^2
4.(x^2-x)^2+6(x^2-x)+9
5.(x^2-2x)^2+2x(x-2)+1
6.9a^2-30ab^2+25b^4
7.-4x^2+12xy-9y^2
8.9(2a-b)^2-6(2a-b)+1
9.-2m^3+24m^2-72m
10.-x^4+2x^2y^2-y^4
11.(x+y)^2+4(x-y)^2-4(x^2-y^2)
12.(a^2+1)^2-4a^2
用乘法公式分解因式1.1/2a^2-2ab+2b^22.2x^3y+8x^2y^2+8xy^33.-9x^2-3xy-1/4y^24.(x^2-x)^2+6(x^2-x)+95.(x^2-2x)^2+2x(x-2)+16.9a^2-30ab^2+25b^47.-4x^2+12xy-9y^28.9(2a-b)^2-6(2a-b)+19.-2m^3+24m^2-72m10.-x^4+2x^2y^2-y^411.(x+y)^2+4(x-y)^2-4(x^2-y^2)
1.
1/2a^2-2ab+2b^2
=1/2(a^2-4ab+4b^2)
=1/2(a-2b)^2
2.
2x^3y+8x^2y^2+8xy^3
=2xy(x^2+4xy+4y^2)
=2xy(x+2y)^2
3.
-9x^2-3xy-1/4y^2
=-(3x+1/2y)^2
4.
(x^2-x)^2+6(x^2-x)+9
=(x^2-x+3)^2
5.
(x^2-2x)^2+2x(x-2)+1
=(x^2-2x+1)^2
=(x-1)^4
6.
9a^2-30ab^2+25b^4
=(3a-5b^2)^2
7.
-4x^2+12xy-9y^2
=-(2x-3y)^2
8.
9(2a-b)^2-6(2a-b)+1
=[3(2a-b)-1]^2
=(6a-3b-1)^2
9.
-2m^3+24m^2-72m
=-2m(m^2-12m+36)
=-2m(m-6)^2
10.
-x^4+2x^2y^2-y^4
=-(x^2-y^2)
=-(x+y)(x-y)
11.
(x+y)^2+4(x-y)^2-4(x^2-y^2)
=(x+y)^2-4(X+y)(X-y)+4(x-y)^2
=[(x+y)-2(x-y)]^2
=(3y-x)^2
12.
(a^2+1)^2-4a^2
=(a^2+1-2a)^2
=(a-1)^4
1、提取公因式 1/2
2、提取公因式2xy
3、将负号提取出来即可 -(3x^2+1/2y^2)^2
4、(x^2-x+3)^2
5、(x^2-2x+1)^2=(x-1)^4
6、(3a-5b^2)^2
7、-(2x-3y)^2
8、【3(2a-b)-1】^2=(6a-3b-1)^2
9、-2m(m^2-12m+36)=-2m(m...
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1、提取公因式 1/2
2、提取公因式2xy
3、将负号提取出来即可 -(3x^2+1/2y^2)^2
4、(x^2-x+3)^2
5、(x^2-2x+1)^2=(x-1)^4
6、(3a-5b^2)^2
7、-(2x-3y)^2
8、【3(2a-b)-1】^2=(6a-3b-1)^2
9、-2m(m^2-12m+36)=-2m(m-6)^2
10、-(x^2-y^2)^2=-(x+y)^2(x-y)^2
11、(x+y)^2+4(x-y)^2-4(x^2-y^2)
=(x+y)^2-4(X+y)(X-y)+4(x-y)^2
=[(x+y)-2(x-y)]^2
=(3y-x)^2
12、(a^2+1)^2-4a^2
=(a^2+1-2a)^2
=(a-1)^4
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