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Vladimir [108]
2 years ago
13

Simplify the expression

Mathematics
1 answer:
Stolb23 [73]2 years ago
8 0

Answer:

A. {x}^{3}  - x -  \frac{6}{2x + 3}

Step-by-step explanation:

\frac{2 {x}^{4}  + 3 {x}^{3}  - 2 {x}^{2}  - 3x - 6}{2x + 3}  \\  \\  = \frac{(2 {x}^{4}  + 3 {x}^{3} ) - (2 {x}^{2}   + 3x) - 6}{2x + 3}  \\  \\  = \frac{ {x}^{3} (2 {x}  + 3  ) - x(2 {x}  + 3) - 6}{2x + 3}  \\  \\  =  \frac{ {x}^{3} (2x + 3)}{2x + 3}  -  \frac{x(2x + 3)}{2x + 3}  -  \frac{6}{2x + 3}  \\  \\   \purple { \bold{=  {x}^{3}  - x -  \frac{6}{2x + 3}  }}

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