santiagoadanysa1 santiagoadanysa1
  • 09-06-2022
  • Mathematics
contestada

what is the simplest form of the expression below 2x^2 - 10x -28 x 6/ 6x x x-7

what is the simplest form of the expression below 2x2 10x 28 x 6 6x x x7 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 09-06-2022

Answer:

A

Step-by-step explanation:

[tex]\frac{2x^2-10x-28}{6x}[/tex] × [tex]\frac{6}{x-7}[/tex] ← factor the quadratic

= [tex]\frac{2(x+2)(x-7)}{6x}[/tex] × [tex]\frac{6}{x-7}[/tex]  ← cancel the factor (x - 7) and 6

= [tex]\frac{2(x+2)}{x}[/tex] × 1

= [tex]\frac{2x+4}{x}[/tex]

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