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(2x-1)(x+2)(3x-1)=6x^3+7x^2-9x+2

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Answer:

Therefore, the answer is: (2x-1)(x+2)(3x-1)=6x^3+7x^2-9x+2

Explanation:

To prove that (2x-1)(x+2)(3x-1)=6x^3+7x^2-9x+2 for all values of x, we can simply expand the left-hand side of the equation and simplify it to match the right-hand side.

Expanding the left-hand side using the distributive property, we get:

(2x-1)(x+2)(3x-1) = (2x^2+3x-2)(3x-1)

= 6x^3 + 7x^2 - 9x + 2

This matches the right-hand side of the equation, so we have proven that (2x-1)(x+2)(3x-1)=6x^3+7x^2-9x+2 for all values of x.

User Anurag Bhakuni
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