ietxyz ietxyz
  • 01-06-2021
  • Mathematics
contestada

Simplify the expression and write any restrictions.

Simplify the expression and write any restrictions class=

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 01-06-2021

Answer:

Numerator :

[tex]8x^2 - 10x + 3 = 8x^2 -6x -4x + 3[/tex]

                     [tex]= 2x(4x -3)-1(4x -3) \\= (2x-1)(4x-3)[/tex]

Denominator :

[tex]6x^2 + 3x -3 = 6x^2 +6x -3x - 3[/tex]

                   [tex]=6x(x+1)-3(x+1)\\=(6x-3)(x+1)\\=3(2x-1)(x+1)[/tex]

[tex]\frac{8x^2-10x+3}{6x^2+3x -3} = \frac{(2x-1)(4x-3)}{3(2x-1)(x+1)} = \frac{(4x-3)}{3(x+1)}[/tex]

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