**『齊次3項加法小程式A』**
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[(X^0+Y^0+Z^0)(X^2+Y^2+Z^2)-(X^1+Y^1+Z^1)(X^1+Y^1+Z^1)]
×
[(X^1+Y^1+Z^1)(X^5+Y^5+Z^5)-(X^2+Y^2+Z^2)(X^4+Y^4+Z^4)]
+
[(X^1+Y^1+Z^1)(X^3+Y^3+Z^3)-(X^2+Y^2+Z^2)(X^2+Y^2+Z^2)]
×
[(X^0+Y^0+Z^0)(X^3+Y^3+Z^3)-(X^1+Y^1+Z^1)(X^2+Y^2+Z^2)]
**=**
[(X^0+Y^0+Z^0)(X^2+Y^2+Z^2)-(X^1+Y^1+Z^1)(X^1+Y^1+Z^1)]
×
[(X^1+Y^1+Z^1)(X^4+Y^4+Z^4)-(X^2+Y^2+Z^2)(X^3+Y^3+Z^3)]
+
[(X^1+Y^1+Z^1)(X^3+Y^3+Z^3)-(X^2+Y^2+Z^2)(X^2+Y^2+Z^2)]
×
[(X^0+Y^0+Z^0)(X^4+Y^4+Z^4)-(X^1+Y^1+Z^1)(X^3+Y^3+Z^3)]
※※※
說明；
(1) 加法的意思是等號左右：AB+CD=EF+GH。
(2) 小程式成立的條件：X+Y+Z=1。
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**範例：X=4, Y=5, Z= -8。**
(X+Y+Z=1)
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((4^0+5^0+(-8)^0)(4^2+5^2+(-8)^2)-(4^1+5^1+(-8)^1)(4^1+5^1+(-8)^1))
×
((4^1+5^1+(-8)^1)(4^5+5^5+(-8)^5)-(4^2+5^2+(-8)^2)(4^4+5^4+(-8)^4))
+
((4^1+5^1+(-8)^1)(4^3+5^3+(-8)^3)-(4^2+5^2+(-8)^2)(4^2+5^2+(-8)^2))
×
((4^0+5^0+(-8)^0)(4^3+5^3+(-8)^3)-(4^1+5^1+(-8)^1)(4^2+5^2+(-8)^2))
=
((4^0+5^0+(-8)^0)(4^2+5^2+(-8)^2)-(4^1+5^1+(-8)^1)(4^1+5^1+(-8)^1))
×
((4^1+5^1+(-8)^1)(4^4+5^4+(-8)^4)-(4^2+5^2+(-8)^2)(4^3+5^3+(-8)^3))
+
((4^1+5^1+(-8)^1)(4^3+5^3+(-8)^3)-(4^2+5^2+(-8)^2)(4^2+5^2+(-8)^2))
×
((4^0+5^0+(-8)^0)(4^4+5^4+(-8)^4)-(4^1+5^1+(-8)^1)(4^3+5^3+(-8)^3))
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314
×
(-551,204)
+
(-11,348)
×
(-1,074)
**=**
314
×
38,892
+
(-11,348)
×
15,254
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314×(-551,204)+(-11,348)×(-1,074)
=
314×38,892+(-11,348)×15,254
※※※
-160,890,304= -160,890,304。
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完

『齊次3項加法小程式A』

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