[(x-y)²+(x+y)²】(x²-y²) (m-n-3)² (x-
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[(x-y)²+(x+y)²】(x²-y²) (m-n-3)² (x-2y+z)(-x+2y+z)乘法公式计算
比较下列两数的大小:1995×1997与1993×1999
比较下列两数的大小:1995×1997与1993×1999
[(x-y)²+(x+y)²】(x²-y²)
=(x²-2xy+y²+x²+2xy+y²)(x²-y²)
=2(x²+y²)(x²-y²)
=2x的4次方-2y的4次方
(m-n-3)²
=(m-n)²-6(m-n)+9
=m²-2mn+n²-6m+6n+9
(x-2y+z)(-x+2y+z)
=[z+(x-2y)][z-(x-2y)]
=z²-(x-2y)²
=z²-x²+4xy-4y²
1995×1997=(1996-1)(1996+1)=1996²-1
1993×1999=(1996-3)(1996+2)=1996²-9
∴1995×1997>1993×1999
再问: 第二个我和你不一样,我:=m²+n²-2mn-6m+6n+9
=(x²-2xy+y²+x²+2xy+y²)(x²-y²)
=2(x²+y²)(x²-y²)
=2x的4次方-2y的4次方
(m-n-3)²
=(m-n)²-6(m-n)+9
=m²-2mn+n²-6m+6n+9
(x-2y+z)(-x+2y+z)
=[z+(x-2y)][z-(x-2y)]
=z²-(x-2y)²
=z²-x²+4xy-4y²
1995×1997=(1996-1)(1996+1)=1996²-1
1993×1999=(1996-3)(1996+2)=1996²-9
∴1995×1997>1993×1999
再问: 第二个我和你不一样,我:=m²+n²-2mn-6m+6n+9
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