caitlinowens14p54ks3 caitlinowens14p54ks3
  • 22-03-2018
  • Mathematics
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simplify the fraction

simplify the fraction class=

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mathstudent55
mathstudent55 mathstudent55
  • 22-03-2018
[tex] \dfrac{\frac{4t^2 - 16}{8}}{\frac{t - 2}{6}} = [/tex]

[tex] = \dfrac{\frac{4(t^2 - 4)}{8}}{\frac{t - 2}{6}} [/tex]

[tex] = \dfrac{\frac{(t + 2)(t - 2)}{2}}{\frac{t - 2}{6}} [/tex]

[tex] = \dfrac{(t + 2)(t - 2)}{2} \times \dfrac{6}{t - 2} [/tex]

[tex] = \dfrac{t + 2}{1} \times \dfrac{3}{1} [/tex]

[tex] = 3(t + 2) [/tex]

Answer: Choice A.
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