初一因数分解,数学高手进(1)-3ax^2+6axy-3ay^2(2)(x+1)(x+2)(x+3)(x+4)+1这个是因式啊不是因数
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![初一因数分解,数学高手进(1)-3ax^2+6axy-3ay^2(2)(x+1)(x+2)(x+3)(x+4)+1这个是因式啊不是因数](/uploads/image/z/12063270-30-0.jpg?t=%E5%88%9D%E4%B8%80%E5%9B%A0%E6%95%B0%E5%88%86%E8%A7%A3%2C%E6%95%B0%E5%AD%A6%E9%AB%98%E6%89%8B%E8%BF%9B%EF%BC%881%EF%BC%89-3ax%5E2%EF%BC%8B6axy-3ay%5E2%EF%BC%882%EF%BC%89%EF%BC%88x%EF%BC%8B1%EF%BC%89%EF%BC%88x%EF%BC%8B2%EF%BC%89%EF%BC%88x%EF%BC%8B3%EF%BC%89%EF%BC%88x%EF%BC%8B4%EF%BC%89%EF%BC%8B1%E8%BF%99%E4%B8%AA%E6%98%AF%E5%9B%A0%E5%BC%8F%E5%95%8A%E4%B8%8D%E6%98%AF%E5%9B%A0%E6%95%B0)
初一因数分解,数学高手进(1)-3ax^2+6axy-3ay^2(2)(x+1)(x+2)(x+3)(x+4)+1这个是因式啊不是因数
初一因数分解,数学高手进
(1)-3ax^2+6axy-3ay^2
(2)(x+1)(x+2)(x+3)(x+4)+1
这个是因式啊不是因数
初一因数分解,数学高手进(1)-3ax^2+6axy-3ay^2(2)(x+1)(x+2)(x+3)(x+4)+1这个是因式啊不是因数
(1)-3ax^2+6axy-3ay^2
=-3a(x²-2xy+y²)
=-3a(x-y)²
.
(2)(x+1)(x+2)(x+3)(x+4)+1
=(x+1)(x+4)(x+2)(x+3)+1
=(x²+5x+4)(x²+5x+6)+1
=(x²+5x)²+10(x²+5x)+24+1
=(x²+5x)²+10(x²+5x)+25
=(x²+5x+5)²
1 . -3ax^2+6axy-3ay^2
=-3a(x^2-2xy+y^2)
=-3a(x-y)^2
2. (x+1)(x+2)(x+3)(x+4)+1
=(x+1)(x+4)(x+2)(x+3)+1
=(x^2+5x+4)(x...
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1 . -3ax^2+6axy-3ay^2
=-3a(x^2-2xy+y^2)
=-3a(x-y)^2
2. (x+1)(x+2)(x+3)(x+4)+1
=(x+1)(x+4)(x+2)(x+3)+1
=(x^2+5x+4)(x^2+5x+6)+1
=设x^2+5x为z
= (z+4)(z+6)+1
=z^2+10z+24+1
=z^2+10+25
=(z+5)^2
= (x^2+5x+5)^2 {代入x^2+5x}
收起
(1)-3a(x^2-2xy+y^2)=-3a(x-y)^2