Show That `2(sin^6x+cos^6x)-3(sin^4x+cos^4x)+1=0`

Explanation

To show that \( 2(\sin^6 x + \cos^6 x) - 3(\sin^4 x + \cos^4 x) + 1 = 0 \), we will start with the left-hand side (LHS) and manipulate it step by step.

### Step 1: Start with the LHS
We begin with the expression:
\[ LHS = 2(\sin^6 x + \cos^6 x) - 3(\sin^4 x + \cos^4 x) + 1 \]

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