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Question

Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)

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Solution

To simplify, we will proceed as follows:

x3-2x2+5x-72x-3=2xx3-2x2+5x-7-3x3-2x2+5x-7=2x4-4x3+10x2-14x-3x3+6x2-15x+21
=2x4-4x3-3x3+10x2+6x2-14x-15x+21 (Rearranging)
=2x4-7x3+16x2-29x+21 (Combining like terms)

Thus, the answer is 2x4-7x3+16x2-29x+21.

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