化简:(sin^6a+cos^6a-1) / (sin^4ª+cos^4a-1)

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化简:(sin^6a+cos^6a-1) / (sin^4ª+cos^4a-1)

化简:(sin^6a+cos^6a-1) / (sin^4ª+cos^4a-1)
化简:(sin^6a+cos^6a-1) / (sin^4ª+cos^4a-1)

化简:(sin^6a+cos^6a-1) / (sin^4ª+cos^4a-1)
分子=(sin^2a+cos^2a)^3-3sin^2a*cos^2a(sin^2a+cos^2a)-1
=-3sin^2a*cos^2a
分母=(sin^2a+cos^2a)^2-2sin^2a*cos^2a-1=-2sin^2a*cos^2a
原式的值=分子/分母=3/2
(公式:a^3+b^3=(a+b)^3-3ab*(a+b))
(懂了没有,朋友!)