Simplify: (x^3-2 x^2+5 x-7 )(2 x-3) - Vidyadip

Question

Simplify:
$\left(x^3-2 x^2+5 x-7\right)(2 x-3)$

✓

Answer

To simplify, we will proceed as follows: $\left(x^3-2 x^2+5 x-7(2 x-3)\right.$
$=2 x\left(x^3-2 x^2+5 x-7\right)-3\left(x^3-2 x^2+5 x-7\right)$
$=2 x^4-4 x^3+10 x^2-14 x-3 x^3+6 x^2-15 x+21$
$=2 x^4-4 x^3-3 x^3+10 x^2+6 x^2-14 x-15 x+21$
$=2 x^4-7 x^3+16 x^2-29 x+21$
Thus, the answer is $2 x^4-7 x^3+16 x^2-29 x+21$.

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