化简f(x)=(6sin^4x-7sin^2x+2)/(sin^2x-cos^2x)要过程

化简f(x)=(6sin^4x-7sin^2x+2)/(sin^2x-cos^2x)要过程
化简f(x)=(6sin^4x-7sin^2x+2)/(sin^2x-cos^2x)要过程

化简f(x)=(6sin^4x-7sin^2x+2)/(sin^2x-cos^2x)要过程
原式= (3sin²x-2)(2sin²x-1)/(sin²x-cos²x)
= (3sin²x-2)[2sin²x-(sin²x+cos²x]/(sin²x-cos²x)
= (3sin²x-2)(sin²x-cos²x)/(sin²x-cos²x)
= (3sin²x-2)