kmdekok
kmdekok kmdekok
  • 11-06-2020
  • Mathematics
contestada

Simplify the expression:

3x (4x-6)
—————
2x(3x)

Respuesta :

GrimMxReapeR
GrimMxReapeR GrimMxReapeR
  • 11-06-2020

Answer:

[tex]=\frac{2x-3}{x}[/tex]

Step-by-step explanation:

[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]

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