利用平方差公式:a^2-b^2=(a+b)(a-b)
分子
=(x^2+y^2-9+2xy)(x^2+y^2-9-2xy)
=((x+y)^2-9)((x-y)^2-9)
=(x+y+3)(x+y-3)(x-y+3)(x-y-3)
分母
=(x+3)^2-y^2
=(x+y+3)(x-y+3)
原式=分子/分母=(x+y-3)(x-y-3)
約分:[(x^2+y^2-9)^2-4x^2y^2]/(x^2-y^2+6x+9)
約分:[(x^2+y^2-9)^2-4x^2y^2]/(x^2-y^2+6x+9)
數(shù)學人氣:266 ℃時間:2020-06-25 06:36:19
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