-2a^2+4ab-2b^2
-2a^2+4ab-2b^2a^2(x-y)+b^2(y-x)(a^2+b^2)^2-4a^2b^281a^4-72a^2b^2+16b^4因式分解...
-2a^2+4ab-2b^2
a^2(x-y)+b^2(y-x)
(a^2+b^2)^2-4a^2b^2
81a^4-72a^2b^2+16b^4
因式分解 展开
a^2(x-y)+b^2(y-x)
(a^2+b^2)^2-4a^2b^2
81a^4-72a^2b^2+16b^4
因式分解 展开
2个回答
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-2a^2+4ab-2b^2
=-2(a^2-2ab+b^2)
=-2(a-b)^2
a^2(x-y)+b^2(y-x)
=a^2(x-y)-b^2(y-x)
=(x-y)(a^2-b^2)
=(x-y)(a+b)(a-b)
(a^2+b^2)^2-4a^2b^2
=(a^2+b^2+2ab)(a^2+b^2-2ab)
=(a+b)^2(a-b)^2
81a^4-72a^2b^2+16b^4
=(9a^2)^2-2(9a^2)(4b^2)+(4b^2)^2
=(9a^2-4b^2)
=(3a+2b)(3a-2b)
=-2(a^2-2ab+b^2)
=-2(a-b)^2
a^2(x-y)+b^2(y-x)
=a^2(x-y)-b^2(y-x)
=(x-y)(a^2-b^2)
=(x-y)(a+b)(a-b)
(a^2+b^2)^2-4a^2b^2
=(a^2+b^2+2ab)(a^2+b^2-2ab)
=(a+b)^2(a-b)^2
81a^4-72a^2b^2+16b^4
=(9a^2)^2-2(9a^2)(4b^2)+(4b^2)^2
=(9a^2-4b^2)
=(3a+2b)(3a-2b)
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展开全部
-2a^2+4ab-2b^2=-2(a-b)(a-b)
a^2(x-y)+b^2(y-x)=(a^2-b^2)(x-y)=(a+b)(a-b)(x-y)
(a^2+b^2)^2-4a^2b^2=(a^2+b^2+2ab)(a^2+b^2-2ab)=(a+b)(a+b)(a-b)(a-b)
81a^4-72a^2b^2+16b^4=(9a^2-4b^2)^2=(3a+2b)(3a+2b)(3a-2b)(3a-2b)
a^2(x-y)+b^2(y-x)=(a^2-b^2)(x-y)=(a+b)(a-b)(x-y)
(a^2+b^2)^2-4a^2b^2=(a^2+b^2+2ab)(a^2+b^2-2ab)=(a+b)(a+b)(a-b)(a-b)
81a^4-72a^2b^2+16b^4=(9a^2-4b^2)^2=(3a+2b)(3a+2b)(3a-2b)(3a-2b)
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