Question: Simplify: 2(sin^6x+cos^6x)-3(sin^4x+cos^4x)+1
2(sin^6x + 3.sin^4x.cos^2x + 3.sin^2x.cos^4x + cos^6x) - 6.sin^4x.cos^2x - 6.sin^2x.cos^4x - 3(sin^4x + 2.sin^2x.cos^2x + cos^4x) + 6.sin^2x.cos^2x + 1
2(sin^2x + cos^2x)^3 - 6.sin^2x.cos^2x(sin^2x + cos^2x) - 3(sin^2x + cos^2x)^2 + 6.sin^2x.cos^2x + 1
2(1)^3 - 6.sin^2x.cos^2x(1) - 3(1)^2 + 6.sin^2x.cos^2x + 1
2 - 3 - 6.sin^2x.cos^2x + 6.sin^2x.cos^2x + 1
0
Answer: the expression simplifies to zero