Respuesta :

Answer:

O Option A/1

Step-by-step explanation:

Take LCM.

4x+3(2x² - 8x) + 24x / x(2x² - 8x)

= 8x³ + 6x² - 32x² - 24x + 24x / 2x³ - 8x²

= 8x³ - 26x² / 2x³ - 8x²

= 4x - 13 / x - 4

Answer:

[tex]\frac{4x-13}{x-4}[/tex]

Explanation:

→ [tex]\frac{4x+3}{x} + \frac{24}{2x^2 -8x}[/tex]

[ least common multiple ]

→ [tex]\frac{(4x+3)(2x^2 -8x)+24(x)}{x(2x^2 - 8x)}[/tex]

[ open the brackets ]

→ [tex]\frac{8x^3 -32x^2 +6x^2 -24x+24x}{x(2x^2 -8x)}[/tex]

[ simplify ]

→ [tex]\frac{8x^3 -26x^2 }{2x(x-4)}[/tex]

[ final answer ]

→ [tex]\frac{4x-13}{x-4}[/tex]

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