Prove the following identities: `sin^4A-cos^4A=sin^2A-cos^2A=2sin^2A-1=1-2cos^2A`

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Prove the following identities: sin^4A+cos^4A=1-2sin^2Acos^2A

Prove the following identities: sin^(4)A-cos^(4)A=sin^(2)A-cos^(2)A=2sin^(2)A-1=1-2cos^(2)A

sin^4A-cos^4A=2sin^2A-1=1-2cos^2A=sin^2A-cos^2A

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Prove the following identities : sin^(4) A - cos^(4) A = 2 sin^(2) A - 1