How do I simplify this expression with trigonometric identities

(1-2sin²x)² + 4sin²xcos²x

Thank you!

Given expression
=1+4sin^4(x)-4sin^2(x)+4sin^2(x)cos^2(… by expanding
=1+4sin^4(x)-4sin^2(x)[1-cos^2(x)]
=1+4sin^4(x)-4sin^2(x)sin^2(x) using sin^2+cos^2=1
=1+4sin^4(x)-4sin^4(x)
=1

1 - 4sinx^2 + 4sinx^4 + 4sin^2xcos^2x

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