Question

simplify: (3x-4) (2x²-5x+1)-(2x-1)(3x²+7x-5)

Answer 1

Please see the attachment

Answer 2

The correct answer is $-34x^{2} +40x -9$.

Given: The equation = (3x-4) (2x²-5x+1)-(2x-1)(3x²+7x-5).

To Find: Simplify the equation.

Solution:

(3x-4) (2x²-5x+1)-(2x-1)(3x²+7x-5)

= $6x^{3}-15x^{2} +3x-8x^{2} +20x-4-(6x^{3}+14x^{2} -10x-3x^{2} -7x+5 )$

= $6x^{3}-23x^{2} +23x-4-(6x^{3}+11x^{2} -17x+5 )$

= $6x^{3}-23x^{2} +23x-4-6x^{3}-11x^{2} +17x-5$

= $-23x^{2} +23x-4-11x^{2} +17x-5$

= $-34x^{2} +40x -9$

Hence, the answer is $-34x^{2} +40x -9$.

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