化简sin^4α+cos^4α+2sin^2α*cos^2α-1

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化简sin^4α+cos^4α+2sin^2α*cos^2α-1
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化简sin^4α+cos^4α+2sin^2α*cos^2α-1
化简sin^4α+cos^4α+2sin^2α*cos^2α-1

化简sin^4α+cos^4α+2sin^2α*cos^2α-1
sin^4α+cos^4α+2sin^2α*cos^2α-1
=(sin²a+cos²a)²-1²
=1-1
=0

sin^4α+cos^4α+2sin^2α*cos^2α-1=[sin^2α+cos^2α]^2-1=0