\(A=4\left[\left(sin^2a+cos^2a\right)^3-3sin^2a.cos^2a\left(sin^2a+cos^2a\right)\right]-6\left[\left(sin^2a+cos^2a\right)^2-2sin^2a.cos^2a\right]\)
\(=4\left(1-3sin^2a.cos^2a\right)-6\left(1-2sin^2a.cos^2a\right)\)
\(=4-12sin^2a.cos^2a-6+12sin^2a.cos^2a\)
\(=-2\)
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