lifonmala lifonmala
  • 22-04-2021
  • Mathematics
contestada

X square/3 - x/3 -44

X square3 x3 44 class=

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 27-04-2021

Answer:

[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2}{3} - \frac{x}{3} - 44[/tex]

Required

Solve

Take LCM

[tex]\frac{x^2 - x - 132}{3}[/tex]

Expand

[tex]\frac{x^2 +11 x -12x- 132}{3}[/tex]

Factorize:

[tex]\frac{x(x+11) -12(x+ 11)}{3}[/tex]

[tex]\frac{(x -12)(x+ 11)}{3}[/tex]

Hence:

[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]

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