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.