Problem

2) $3 x^{4}-2 x^{3}-6 x+4 \quad L x^{3}-2$

Answer

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Answer

\(\boxed{-2Lx - 6x + 3(Lx - 2)^2 + 8}\) is the final answer

Steps

Step 1 :Given the expression: \(3x^4 - 2x^3 - 6x + 4\) and \(x^3 = Lx - 2\)

Step 2 :Substitute \(x^3\) in the expression: \(3(Lx - 2)^4 - 2(Lx - 2)^3 - 6x + 4\)

Step 3 :Simplify the expression: \(-2Lx - 6x + 3(Lx - 2)^2 + 8\)

Step 4 :\(\boxed{-2Lx - 6x + 3(Lx - 2)^2 + 8}\) is the final answer

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