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Simplify 4*(sin⁶ A + cos⁶ A) - 6*(sin⁴ A + cos⁴ A).

1. 0
2. 1
3. -2
4. none of these

Correct answer: -2

Solution

Both bracket identities leave a common s²*c² term whose coefficients (4*3 and 6*2) cancel, giving the constant -2.

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